152564640 has 96 divisors (see below), whose sum is σ = 496129536. Its totient is φ = 39367680.

The previous prime is 152564639. The next prime is 152564669. The reversal of 152564640 is 46465251.

152564640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9754 + ... + 20006.

It is an arithmetic number, because the mean of its divisors is an integer number (5168016).

Almost surely, 2^152564640 is an apocalyptic number.

152564640 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 152564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248064768).

152564640 is an abundant number, since it is smaller than the sum of its proper divisors (343564896).

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

152564640 is a wasteful number, since it uses less digits than its factorization.

152564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 152564640 is about 12351.7059550493. The cubic root of 152564640 is about 534.3403404900.

The spelling of 152564640 in words is "one hundred fifty-two million, five hundred sixty-four thousand, six hundred forty".