131867974080 has 336 divisors, whose sum is σ = 486597777120. Its totient is φ = 33951633408.

The previous prime is 131867974061. The next prime is 131867974093. The reversal of 131867974080 is 80479768131.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2225802 + ... + 2284278.

It is an arithmetic number, because the mean of its divisors is an integer number (1448207670).

Almost surely, 2^131867974080 is an apocalyptic number.

131867974080 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 131867974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243298888560).

131867974080 is an abundant number, since it is smaller than the sum of its proper divisors (354729803040).

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

131867974080 is an equidigital number, since it uses as much as digits as its factorization.

131867974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58538 (or 58516 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 131867974080 in words is "one hundred thirty-one billion, eight hundred sixty-seven million, nine hundred seventy-four thousand, eighty".