131150400 has 168 divisors, whose sum is σ = 436534560. Its totient is φ = 34467840.

The previous prime is 131150389. The next prime is 131150447. The reversal of 131150400 is 4051131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131150400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427047 + ... + 427353.

It is an arithmetic number, because the mean of its divisors is an integer number (2598420).

Almost surely, 2^131150400 is an apocalyptic number.

131150400 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 131150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218267280).

131150400 is an abundant number, since it is smaller than the sum of its proper divisors (305384160).

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

131150400 is a wasteful number, since it uses less digits than its factorization.

131150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131150400 is about 11452.0915120339. The cubic root of 131150400 is about 508.0695959375.

The spelling of 131150400 in words is "one hundred thirty-one million, one hundred fifty thousand, four hundred".