151531756992 has 1120 divisors, whose sum is σ = 588865406976. Its totient is φ = 37391155200.

The previous prime is 151531756973. The next prime is 151531756997. The reversal of 151531756992 is 299657135151.

It is a happy number.

151531756992 is a `hidden beast` number, since 1 + 51 + 531 + 7 + 56 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151531756997) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 769196638 + ... + 769196834.

Almost surely, 2^151531756992 is an apocalyptic number.

151531756992 is a gapful number since it is divisible by the number (12) 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 151531756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294432703488).

151531756992 is an abundant number, since it is smaller than the sum of its proper divisors (437333649984).

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

151531756992 is a wasteful number, since it uses less digits than its factorization.

151531756992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its digits is 2551500, while the sum is 54.

The spelling of 151531756992 in words is "one hundred fifty-one billion, five hundred thirty-one million, seven hundred fifty-six thousand, nine hundred ninety-two".