152979264000 has 480 divisors, whose sum is σ = 553307554800. Its totient is φ = 40624128000.

The previous prime is 152979263989. The next prime is 152979264049. The reversal of 152979264000 is 462979251.

152979264000 is a `hidden beast` number, since 152 + 9 + 7 + 92 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 654541056 + 152324722944 = 25584^2 + 390288^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 201023620 + ... + 201024380.

Almost surely, 2^152979264000 is an apocalyptic number.

152979264000 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 152979264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276653777400).

152979264000 is an abundant number, since it is smaller than the sum of its proper divisors (400328290800).

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

152979264000 is an equidigital number, since it uses as much as digits as its factorization.

152979264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 152979264000 in words is "one hundred fifty-two billion, nine hundred seventy-nine million, two hundred sixty-four thousand".