151510988160 has 512 divisors, whose sum is σ = 615109939200. Its totient is φ = 34526601216.

The previous prime is 151510988159. The next prime is 151510988191. The reversal of 151510988160 is 61889015151.

151510988160 is a `hidden beast` number, since 1 + 51 + 510 + 9 + 8 + 81 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44390614 + ... + 44394026.

It is an arithmetic number, because the mean of its divisors is an integer number (1201386600).

Almost surely, 2^151510988160 is an apocalyptic number.

151510988160 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 151510988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307554969600).

151510988160 is an abundant number, since it is smaller than the sum of its proper divisors (463598951040).

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

151510988160 is a wasteful number, since it uses less digits than its factorization.

151510988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 151510988160 in words is "one hundred fifty-one billion, five hundred ten million, nine hundred eighty-eight thousand, one hundred sixty".