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125052534140 = 225173713772559
BaseRepresentation
bin111010001110110110…
…1100011110101111100
3102221210010101221100112
41310131231203311330
54022101422043030
6133240501445152
712014630000432
oct1643555436574
9387703357315
10125052534140
1149041993876
122029ba107b8
13ba3bbaa941
1460a43a0d52
1533bd837a95
hex1d1db63d7c

125052534140 has 96 divisors (see below), whose sum is σ = 287661507840. Its totient is φ = 45471227904.

The previous prime is 125052534133. The next prime is 125052534163. The reversal of 125052534140 is 41435250521.

It is a junction number, because it is equal to n+sod(n) for n = 125052534097 and 125052534106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687181 + ... + 1759739.

It is an arithmetic number, because the mean of its divisors is an integer number (2996474040).

Almost surely, 2125052534140 is an apocalyptic number.

125052534140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125052534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143830753920).

125052534140 is an abundant number, since it is smaller than the sum of its proper divisors (162608973700).

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

125052534140 is a wasteful number, since it uses less digits than its factorization.

125052534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72759 (or 72757 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 125052534140 its reverse (41435250521), we get a palindrome (166487784661).

The spelling of 125052534140 in words is "one hundred twenty-five billion, fifty-two million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 137 148 170 185 274 340 370 548 629 685 740 1258 1370 2329 2516 2740 3145 4658 5069 6290 9316 10138 11645 12580 20276 23290 25345 46580 50690 72559 86173 101380 145118 172346 290236 344692 362795 430865 725590 861730 1233503 1451180 1723460 2467006 2684683 4934012 5369366 6167515 9940583 10738732 12335030 13423415 19881166 24670060 26846830 39762332 45639611 49702915 53693660 91279222 99405830 168989911 182558444 198811660 228198055 337979822 367801571 456396110 675959644 735603142 844949555 912792220 1471206284 1689899110 1839007855 3379798220 3678015710 6252626707 7356031420 12505253414 25010506828 31263133535 62526267070 125052534140