151656530256 has 640 divisors, whose sum is σ = 576991641600. Its totient is φ = 36923351040.

The previous prime is 151656530237. The next prime is 151656530257. The reversal of 151656530256 is 652035656151.

151656530256 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 565 + 30 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151656530257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210926665 + ... + 210927383.

It is an arithmetic number, because the mean of its divisors is an integer number (901549440).

Almost surely, 2^151656530256 is an apocalyptic number.

151656530256 is a gapful number since it is divisible by the number (16) 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 151656530256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288495820800).

151656530256 is an abundant number, since it is smaller than the sum of its proper divisors (425335111344).

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

151656530256 is a wasteful number, since it uses less digits than its factorization.

151656530256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 151656530256 in words is "one hundred fifty-one billion, six hundred fifty-six million, five hundred thirty thousand, two hundred fifty-six".