152534400 has 96 divisors (see below), whose sum is σ = 502441800. Its totient is φ = 40673280.

The previous prime is 152534363. The next prime is 152534407. The reversal of 152534400 is 4435251.

152534400 is digitally balanced in base 3, 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 Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 17544.

Almost surely, 2^152534400 is an apocalyptic number.

152534400 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 152534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251220900).

152534400 is an abundant number, since it is smaller than the sum of its proper divisors (349907400).

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

152534400 is a wasteful number, since it uses less digits than its factorization.

152534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 152534400 is about 12350.4817719796. The cubic root of 152534400 is about 534.3050341009.

Adding to 152534400 its reverse (4435251), we get a palindrome (156969651).

The spelling of 152534400 in words is "one hundred fifty-two million, five hundred thirty-four thousand, four hundred".