152597347920 has 240 divisors, whose sum is σ = 517106903040. Its totient is φ = 40326395904.

The previous prime is 152597347907. The next prime is 152597347943. The reversal of 152597347920 is 29743795251.

152597347920 is a `hidden beast` number, since 1 + 5 + 2 + 597 + 3 + 47 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37408441 + ... + 37412519.

It is an arithmetic number, because the mean of its divisors is an integer number (2154612096).

Almost surely, 2^152597347920 is an apocalyptic number.

152597347920 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 152597347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258553451520).

152597347920 is an abundant number, since it is smaller than the sum of its proper divisors (364509555120).

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

152597347920 is a wasteful number, since it uses less digits than its factorization.

152597347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 152597347920 in words is "one hundred fifty-two billion, five hundred ninety-seven million, three hundred forty-seven thousand, nine hundred twenty".