130892400 has 180 divisors, whose sum is σ = 459942288. Its totient is φ = 34467840.

The previous prime is 130892383. The next prime is 130892417. The reversal of 130892400 is 4298031.

It is an interprime number because it is at equal distance from previous prime (130892383) and next prime (130892417).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 370624 + ... + 370976.

Almost surely, 2^130892400 is an apocalyptic number.

130892400 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 130892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229971144).

130892400 is an abundant number, since it is smaller than the sum of its proper divisors (329049888).

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

130892400 is a wasteful number, since it uses less digits than its factorization.

130892400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130892400 is about 11440.8216488153. The cubic root of 130892400 is about 507.7362178592.

The spelling of 130892400 in words is "one hundred thirty million, eight hundred ninety-two thousand, four hundred".