131638490880 has 576 divisors, whose sum is σ = 482604490368. Its totient is φ = 30293360640.

The previous prime is 131638490857. The next prime is 131638490891. The reversal of 131638490880 is 88094836131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153603412 + ... + 153604268.

It is an arithmetic number, because the mean of its divisors is an integer number (837855018).

Almost surely, 2^131638490880 is an apocalyptic number.

131638490880 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 131638490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241302245184).

131638490880 is an abundant number, since it is smaller than the sum of its proper divisors (350965999488).

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

131638490880 is a wasteful number, since it uses less digits than its factorization.

131638490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 131638490880 in words is "one hundred thirty-one billion, six hundred thirty-eight million, four hundred ninety thousand, eight hundred eighty".