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125574000156 = 2232115922723677
BaseRepresentation
bin111010011110011001…
…0110010111000011100
3110000010110122011020200
41310330302302320130
54024133421001111
6133404330343500
712033561250503
oct1647462627034
9400113564220
10125574000156
114928a281a20
122040658ab90
13bac2c3a507
14611374383a
1533ee4e1256
hex1d3ccb2e1c

125574000156 has 144 divisors (see below), whose sum is σ = 353715223680. Its totient is φ = 37241400960.

The previous prime is 125574000143. The next prime is 125574000161. The reversal of 125574000156 is 651000475521.

125574000156 is a `hidden beast` number, since 12 + 557 + 40 + 0 + 0 + 1 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125574000156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5291790 + ... + 5315466.

It is an arithmetic number, because the mean of its divisors is an integer number (2456355720).

Almost surely, 2125574000156 is an apocalyptic number.

125574000156 is the 189416-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125574000156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176857611840).

125574000156 is an abundant number, since it is smaller than the sum of its proper divisors (228141223524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125574000156 is a wasteful number, since it uses less digits than its factorization.

125574000156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 125574000156 its reverse (651000475521), we get a palindrome (776574475677).

The spelling of 125574000156 in words is "one hundred twenty-five billion, five hundred seventy-four million, one hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 227 236 354 396 454 531 649 681 708 908 1062 1298 1362 1947 2043 2124 2497 2596 2724 3894 4086 4994 5841 7491 7788 8172 9988 11682 13393 14982 22473 23364 23677 26786 29964 40179 44946 47354 53572 71031 80358 89892 94708 120537 142062 147323 160716 213093 241074 260447 284124 294646 426186 441969 482148 520894 589292 781341 852372 883938 1041788 1325907 1396943 1562682 1767876 2344023 2651814 2793886 3125364 4190829 4688046 5303628 5374679 5587772 8381658 9376092 10749358 12572487 15366373 16124037 16763316 21498716 25144974 30732746 32248074 46099119 48372111 50289948 59121469 61465492 64496148 92198238 96744222 118242938 138297357 177364407 184396476 193488444 236485876 276594714 317106061 354728814 532093221 553189428 634212122 709457628 951318183 1064186442 1268424244 1902636366 2128372884 2853954549 3488166671 3805272732 5707909098 6976333342 10464500013 11415818196 13952666684 20929000026 31393500039 41858000052 62787000078 125574000156