131552400 has 120 divisors (see below), whose sum is σ = 481637824. Its totient is φ = 30067200.

The previous prime is 131552357. The next prime is 131552401. The reversal of 131552400 is 4255131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131552401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570 + ... + 16230.

Almost surely, 2^131552400 is an apocalyptic number.

131552400 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 131552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240818912).

131552400 is an abundant number, since it is smaller than the sum of its proper divisors (350085424).

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

131552400 is a wasteful number, since it uses less digits than its factorization.

131552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 131552400 is about 11469.6294621928. The cubic root of 131552400 is about 508.5881752440.

The spelling of 131552400 in words is "one hundred thirty-one million, five hundred fifty-two thousand, four hundred".