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151657137 = 3323324107
BaseRepresentation
bin10010000101000…
…01101010110001
3101120100222111000
421002201222301
5302311012022
623014312213
73521031042
oct1102415261
9346328430
10151657137
1178674285
1242958669
132555c268
14161da8c9
15d4aa6ac
hex90a1ab1

151657137 has 16 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 100666656.

The previous prime is 151657127. The next prime is 151657139. The reversal of 151657137 is 731756151.

151657137 is a `hidden beast` number, since 1 + 51 + 6 + 571 + 37 = 666.

It is not a de Polignac number, because 151657137 - 220 = 150608561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151657139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5763 + ... + 18344.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2151657137 is an apocalyptic number.

It is an amenable number.

151657137 is a deficient number, since it is larger than the sum of its proper divisors (73993743).

151657137 is a wasteful number, since it uses less digits than its factorization.

151657137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24349 (or 24343 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 151657137 is about 12314.9152250432. The cubic root of 151657137 is about 533.2787573929.

It can be divided in two parts, 1516 and 57137, that added together give a triangular number (58653 = T342).

The spelling of 151657137 in words is "one hundred fifty-one million, six hundred fifty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 233 699 2097 6291 24107 72321 216963 650889 5616931 16850793 50552379 151657137