131812800 has 168 divisors, whose sum is σ = 494361216. Its totient is φ = 30120960.

The previous prime is 131812799. The next prime is 131812817. The reversal of 131812800 is 8218131.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×131812800² = 34749228487680000, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31639 + ... + 35561.

Almost surely, 2^131812800 is an apocalyptic number.

131812800 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 131812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247180608).

131812800 is an abundant number, since it is smaller than the sum of its proper divisors (362548416).

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

131812800 is a wasteful number, since it uses less digits than its factorization.

131812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 131812800 is about 11480.9755683043. The cubic root of 131812800 is about 508.9235272243.

The spelling of 131812800 in words is "one hundred thirty-one million, eight hundred twelve thousand, eight hundred".