131976620455680 has 11520 divisors, whose sum is σ = 735223260119040. Its totient is φ = 21671077478400.

The previous prime is 131976620455613. The next prime is 131976620455751. The reversal of 131976620455680 is 86554026679131.

It is a happy number.

131976620455680 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 7 + 6 + 6 + 20 + 45 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a super-2 number, since 2×131976620455680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1039185987777 + ... + 1039185987903.

It is an arithmetic number, because the mean of its divisors is an integer number (63821463552).

It is a 1-persistent number, because it is pandigital, but 2⋅131976620455680 = 263953240911360 is not.

Almost surely, 2^{131976620455680} is an apocalyptic number.

131976620455680 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 131976620455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367611630059520).

131976620455680 is an abundant number, since it is smaller than the sum of its proper divisors (603246639663360).

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

131976620455680 is a wasteful number, since it uses less digits than its factorization.

131976620455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 131976620455680 in words is "one hundred thirty-one trillion, nine hundred seventy-six billion, six hundred twenty million, four hundred fifty-five thousand, six hundred eighty".