152131691520 has 528 divisors, whose sum is σ = 547513873920. Its totient is φ = 39016857600.

The previous prime is 152131691519. The next prime is 152131691531. The reversal of 152131691520 is 25196131251.

It is a happy number.

152131691520 is a `hidden beast` number, since 15 + 2 + 1 + 31 + 6 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401402691 + ... + 401403069.

Almost surely, 2^152131691520 is an apocalyptic number.

152131691520 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 152131691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273756936960).

152131691520 is an abundant number, since it is smaller than the sum of its proper divisors (395382182400).

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

152131691520 is a wasteful number, since it uses less digits than its factorization.

152131691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 152131691520 in words is "one hundred fifty-two billion, one hundred thirty-one million, six hundred ninety-one thousand, five hundred twenty".