131900400 has 360 divisors, whose sum is σ = 503717760. Its totient is φ = 33073920.

The previous prime is 131900389. The next prime is 131900477. The reversal of 131900400 is 4009131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2235571 + ... + 2235629.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^131900400 is an apocalyptic number.

131900400 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 131900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

131900400 is an abundant number, since it is smaller than the sum of its proper divisors (371817360).

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

131900400 is a wasteful number, since it uses less digits than its factorization.

131900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131900400 is about 11484.7899414835. The cubic root of 131900400 is about 509.0362421974.

Adding to 131900400 its reverse (4009131), we get a palindrome (135909531).

The spelling of 131900400 in words is "one hundred thirty-one million, nine hundred thousand, four hundred".