131801251680 has 768 divisors, whose sum is σ = 553667788800. Its totient is φ = 28648028160.

The previous prime is 131801251679. The next prime is 131801251819. The reversal of 131801251680 is 86152108131.

131801251680 is a `hidden beast` number, since 131 + 8 + 0 + 1 + 2 + 516 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55307769 + ... + 55310151.

It is an arithmetic number, because the mean of its divisors is an integer number (720921600).

Almost surely, 2^131801251680 is an apocalyptic number.

131801251680 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 131801251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276833894400).

131801251680 is an abundant number, since it is smaller than the sum of its proper divisors (421866537120).

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

131801251680 is a wasteful number, since it uses less digits than its factorization.

131801251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 131801251680 in words is "one hundred thirty-one billion, eight hundred one million, two hundred fifty-one thousand, six hundred eighty".