131082751800 has 1728 divisors, whose sum is σ = 634440643200. Its totient is φ = 23775897600.

The previous prime is 131082751769. The next prime is 131082751801. The reversal of 131082751800 is 8157280131.

131082751800 is a `hidden beast` number, since 13 + 108 + 27 + 518 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131082751801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 239639127 + ... + 239639673.

It is an arithmetic number, because the mean of its divisors is an integer number (367153150).

Almost surely, 2^131082751800 is an apocalyptic number.

131082751800 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 131082751800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317220321600).

131082751800 is an abundant number, since it is smaller than the sum of its proper divisors (503357891400).

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

131082751800 is a wasteful number, since it uses less digits than its factorization.

131082751800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 131082751800 in words is "one hundred thirty-one billion, eighty-two million, seven hundred fifty-one thousand, eight hundred".