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151005140 = 2251113371427
BaseRepresentation
bin10010000000000…
…10011111010100
3101112010212002222
421000002133110
5302124131030
622552321512
73512344136
oct1100023724
9345125088
10151005140
1178269440
12426a3298
1325391570
14160ab056
15d3cc3e5
hex90027d4

151005140 has 96 divisors (see below), whose sum is σ = 382886784. Its totient is φ = 49282560.

The previous prime is 151005133. The next prime is 151005161. The reversal of 151005140 is 41500151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105107 + ... + 106533.

It is an arithmetic number, because the mean of its divisors is an integer number (3988404).

Almost surely, 2151005140 is an apocalyptic number.

151005140 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 151005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191443392).

151005140 is an abundant number, since it is smaller than the sum of its proper divisors (231881644).

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

151005140 is a wasteful number, since it uses less digits than its factorization.

151005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 151005140 is about 12288.4148692986. The cubic root of 151005140 is about 532.5134442299.

Adding to 151005140 its reverse (41500151), we get a palindrome (192505291).

The spelling of 151005140 in words is "one hundred fifty-one million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1427 1430 1628 1924 2035 2405 2854 2860 4070 4810 5291 5708 7135 8140 9620 10582 14270 15697 18551 21164 26455 28540 31394 37102 52799 52910 62788 74204 78485 92755 105598 105820 156970 185510 204061 211196 263995 313940 371020 408122 527990 580789 686387 816244 1020305 1055980 1161578 1372774 2040610 2323156 2745548 2903945 3431935 4081220 5807890 6863870 7550257 11615780 13727740 15100514 30201028 37751285 75502570 151005140