131181137470080 has 640 divisors, whose sum is σ = 509434983121680. Its totient is φ = 32034050408448.

The previous prime is 131181137470057. The next prime is 131181137470099. The reversal of 131181137470080 is 80074731181131.

131181137470080 is a `hidden beast` number, since 1 + 3 + 11 + 81 + 13 + 7 + 470 + 0 + 80 = 666.

131181137470080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 100999123228224 + 30182014241856 = 10049832^2 + 5493816^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30595834 + ... + 34618886.

Almost surely, 2^{131181137470080} is an apocalyptic number.

131181137470080 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 131181137470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254717491560840).

131181137470080 is an abundant number, since it is smaller than the sum of its proper divisors (378253845651600).

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

131181137470080 is a wasteful number, since it uses less digits than its factorization.

131181137470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023138 (or 4023117 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 131181137470080 in words is "one hundred thirty-one trillion, one hundred eighty-one billion, one hundred thirty-seven million, four hundred seventy thousand, eighty".