131257504 has 96 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 52918272.

The previous prime is 131257501. The next prime is 131257513. The reversal of 131257504 is 405752131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131257501) 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 15 ways as a sum of consecutive naturals, for example, 375922 + ... + 376270.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2^131257504 is an apocalyptic number.

131257504 is a gapful number since it is divisible by the number (14) 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 131257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

131257504 is an abundant number, since it is smaller than the sum of its proper divisors (182028896).

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

131257504 is a wasteful number, since it uses less digits than its factorization.

131257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 131257504 is about 11456.7667341183. The cubic root of 131257504 is about 508.2078633508.

The spelling of 131257504 in words is "one hundred thirty-one million, two hundred fifty-seven thousand, five hundred four".