131364600 has 48 divisors (see below), whose sum is σ = 407232120. Its totient is φ = 35030400.

The previous prime is 131364587. The next prime is 131364619. The reversal of 131364600 is 6463131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 108871 + ... + 110070.

Almost surely, 2^131364600 is an apocalyptic number.

131364600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131364600 is an abundant number, since it is smaller than the sum of its proper divisors (275867520).

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

131364600 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 131364600 = (304160316)₉.

131364600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218960 (or 218951 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 131364600 is about 11461.4397001424. The cubic root of 131364600 is about 508.3460452493.

The spelling of 131364600 in words is "one hundred thirty-one million, three hundred sixty-four thousand, six hundred".