152442915840 has 704 divisors, whose sum is σ = 576015974400. Its totient is φ = 38125043712.

The previous prime is 152442915829. The next prime is 152442915847. The reversal of 152442915840 is 48519244251.

152442915840 is a `hidden beast` number, since 1 + 5 + 2 + 44 + 29 + 1 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152442915847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333572892 + ... + 333573348.

Almost surely, 2^152442915840 is an apocalyptic number.

152442915840 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 152442915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288007987200).

152442915840 is an abundant number, since it is smaller than the sum of its proper divisors (423573058560).

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

152442915840 is a wasteful number, since it uses less digits than its factorization.

152442915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 152442915840 in words is "one hundred fifty-two billion, four hundred forty-two million, nine hundred fifteen thousand, eight hundred forty".