131505400 has 96 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 47208960.

The previous prime is 131505383. The next prime is 131505457. The reversal of 131505400 is 4505131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95517 + ... + 96883.

It is an arithmetic number, because the mean of its divisors is an integer number (3525165).

Almost surely, 2^131505400 is an apocalyptic number.

131505400 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 131505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

131505400 is an abundant number, since it is smaller than the sum of its proper divisors (206910440).

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

131505400 is a wasteful number, since it uses less digits than its factorization.

131505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 131505400 is about 11467.5803899515. The cubic root of 131505400 is about 508.5275999106.

The spelling of 131505400 in words is "one hundred thirty-one million, five hundred five thousand, four hundred".