131857200 has 240 divisors, whose sum is σ = 486650400. Its totient is φ = 33868800.

The previous prime is 131857177. The next prime is 131857211. The reversal of 131857200 is 2758131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312990 + ... + 313410.

It is an arithmetic number, because the mean of its divisors is an integer number (2027710).

Almost surely, 2^131857200 is an apocalyptic number.

131857200 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 131857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243325200).

131857200 is an abundant number, since it is smaller than the sum of its proper divisors (354793200).

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

131857200 is a wasteful number, since it uses less digits than its factorization.

131857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 131857200 is about 11482.9090390894. The cubic root of 131857200 is about 508.9806629703.

The spelling of 131857200 in words is "one hundred thirty-one million, eight hundred fifty-seven thousand, two hundred".