131788400 has 30 divisors (see below), whose sum is σ = 316622592. Its totient is φ = 52715200.

The previous prime is 131788399. The next prime is 131788429. The reversal of 131788400 is 4887131.

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 5 ways as a sum of consecutive naturals, for example, 164336 + ... + 165135.

Almost surely, 2^131788400 is an apocalyptic number.

131788400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131788400 is an abundant number, since it is smaller than the sum of its proper divisors (184834192).

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

131788400 is a wasteful number, since it uses less digits than its factorization.

131788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329489 (or 329478 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 131788400 is about 11479.9128916556. The cubic root of 131788400 is about 508.8921228378.

The spelling of 131788400 in words is "one hundred thirty-one million, seven hundred eighty-eight thousand, four hundred".