131090400 has 540 divisors, whose sum is σ = 580384728. Its totient is φ = 28200960.

The previous prime is 131090387. The next prime is 131090423. The reversal of 131090400 is 4090131.

It is a tau number, because it is divible by the number of its divisors (540).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7711192 + ... + 7711208.

Almost surely, 2^131090400 is an apocalyptic number.

131090400 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 131090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290192364).

131090400 is an abundant number, since it is smaller than the sum of its proper divisors (449294328).

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

131090400 is a wasteful number, since it uses less digits than its factorization.

131090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

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

The square root of 131090400 is about 11449.4716035283. The cubic root of 131090400 is about 507.9921051949.

The spelling of 131090400 in words is "one hundred thirty-one million, ninety thousand, four hundred".