152640552960 has 432 divisors, whose sum is σ = 604908603936. Its totient is φ = 34879832064.

The previous prime is 152640552959. The next prime is 152640552971. The reversal of 152640552960 is 69255046251.

152640552960 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 4 + 0 + 552 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41285832 + ... + 41289528.

It is an arithmetic number, because the mean of its divisors is an integer number (1400251398).

Almost surely, 2^152640552960 is an apocalyptic number.

152640552960 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 152640552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302454301968).

152640552960 is an abundant number, since it is smaller than the sum of its proper divisors (452268050976).

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

152640552960 is an frugal number, since it uses more digits than its factorization.

152640552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

It can be divided in two parts, 152640 and 552960, that added together give a square (705600 = 840²).

The spelling of 152640552960 in words is "one hundred fifty-two billion, six hundred forty million, five hundred fifty-two thousand, nine hundred sixty".