131614400 has 84 divisors (see below), whose sum is σ = 331558392. Its totient is φ = 51394560.

The previous prime is 131614397. The next prime is 131614403. The reversal of 131614400 is 4416131.

It is an interprime number because it is at equal distance from previous prime (131614397) and next prime (131614403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131614403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67844 + ... + 69756.

Almost surely, 2^131614400 is an apocalyptic number.

131614400 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 131614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165779196).

131614400 is an abundant number, since it is smaller than the sum of its proper divisors (199943992).

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

131614400 is a wasteful number, since it uses less digits than its factorization.

131614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131614400 is about 11472.3319338311. The cubic root of 131614400 is about 508.6680610651.

The spelling of 131614400 in words is "one hundred thirty-one million, six hundred fourteen thousand, four hundred".