151938369608256 has 896 divisors, whose sum is σ = 565674420510720. Its totient is φ = 38843720294400.

The previous prime is 151938369608237. The next prime is 151938369608257. The reversal of 151938369608256 is 652806963839151.

151938369608256 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 3 + 8 + 3 + 6 + 9 + 608 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (151938369608257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5790983170 + ... + 5791009406.

Almost surely, 2^{151938369608256} is an apocalyptic number.

151938369608256 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 151938369608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282837210255360).

151938369608256 is an abundant number, since it is smaller than the sum of its proper divisors (413736050902464).

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

151938369608256 is a wasteful number, since it uses less digits than its factorization.

151938369608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26960 (or 26944 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 151938369608256 in words is "one hundred fifty-one trillion, nine hundred thirty-eight billion, three hundred sixty-nine million, six hundred eight thousand, two hundred fifty-six".