152664400 has 90 divisors (see below), whose sum is σ = 426712830. Its totient is φ = 52335360.

The previous prime is 152664397. The next prime is 152664401. The reversal of 152664400 is 4466251.

It can be written as a sum of positive squares in 3 ways, for example, as 13046544 + 139617856 = 3612^2 + 11816^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152664401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15706 + ... + 23494.

Almost surely, 2^152664400 is an apocalyptic number.

152664400 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 152664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213356415).

152664400 is an abundant number, since it is smaller than the sum of its proper divisors (274048430).

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

152664400 is a wasteful number, since it uses less digits than its factorization.

152664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 152664400 is about 12355.7436036849. The cubic root of 152664400 is about 534.4567811408.

The spelling of 152664400 in words is "one hundred fifty-two million, six hundred sixty-four thousand, four hundred".