152964720 has 160 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 39004416.

The previous prime is 152964709. The next prime is 152964737. The reversal of 152964720 is 27469251.

152964720 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 647 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48141 + ... + 51219.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^152964720 is an apocalyptic number.

152964720 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 152964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

152964720 is an abundant number, since it is smaller than the sum of its proper divisors (397000080).

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

152964720 is a wasteful number, since it uses less digits than its factorization.

152964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152964720 is about 12367.8906851573. The cubic root of 152964720 is about 534.8070110687.

The spelling of 152964720 in words is "one hundred fifty-two million, nine hundred sixty-four thousand, seven hundred twenty".