152691607360 has 224 divisors, whose sum is σ = 383710037760. Its totient is φ = 57794838528.

The previous prime is 152691607307. The next prime is 152691607399. The reversal of 152691607360 is 63706196251.

It is a self number, because there is not a number n which added to its sum of digits gives 152691607360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105522157 + ... + 105523603.

It is an arithmetic number, because the mean of its divisors is an integer number (1712991240).

Almost surely, 2^152691607360 is an apocalyptic number.

152691607360 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 152691607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191855018880).

152691607360 is an abundant number, since it is smaller than the sum of its proper divisors (231018430400).

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

152691607360 is a wasteful number, since it uses less digits than its factorization.

152691607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 152691607360 in words is "one hundred fifty-two billion, six hundred ninety-one million, six hundred seven thousand, three hundred sixty".