131977003680 has 288 divisors, whose sum is σ = 457519542480. Its totient is φ = 34637414400.

The previous prime is 131977003673. The next prime is 131977003693. The reversal of 131977003680 is 86300779131.

131977003680 is a `hidden beast` number, since 131 + 97 + 70 + 0 + 368 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110194785936 + 21782217744 = 331956^2 + 147588^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63176076 + ... + 63178164.

Almost surely, 2^131977003680 is an apocalyptic number.

131977003680 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 131977003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228759771240).

131977003680 is an abundant number, since it is smaller than the sum of its proper divisors (325542538800).

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

131977003680 is a wasteful number, since it uses less digits than its factorization.

131977003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 131977003680 in words is "one hundred thirty-one billion, nine hundred seventy-seven million, three thousand, six hundred eighty".