152530400 has 72 divisors (see below), whose sum is σ = 406239624. Its totient is φ = 55462400.

The previous prime is 152530397. The next prime is 152530481. The reversal of 152530400 is 4035251.

152530400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (5642217).

Almost surely, 2^152530400 is an apocalyptic number.

152530400 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 152530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203119812).

152530400 is an abundant number, since it is smaller than the sum of its proper divisors (253709224).

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

152530400 is a wasteful number, since it uses less digits than its factorization.

152530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17364 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 152530400 is about 12350.3198339152. The cubic root of 152530400 is about 534.3003635942.

Adding to 152530400 its reverse (4035251), we get a palindrome (156565651).

The spelling of 152530400 in words is "one hundred fifty-two million, five hundred thirty thousand, four hundred".