131772834378624 has 128 divisors (see below), whose sum is σ = 350523283968000. Its totient is φ = 43861344860160.

The previous prime is 131772834378613. The next prime is 131772834378659. The reversal of 131772834378624 is 426873438277131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131772834378624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476716089 + ... + 1476805319.

It is an arithmetic number, because the mean of its divisors is an integer number (2738463156000).

Almost surely, 2^{131772834378624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131772834378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175261641984000).

131772834378624 is an abundant number, since it is smaller than the sum of its proper divisors (218750449589376).

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

131772834378624 is an equidigital number, since it uses as much as digits as its factorization.

131772834378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94716 (or 94704 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 66.

The spelling of 131772834378624 in words is "one hundred thirty-one trillion, seven hundred seventy-two billion, eight hundred thirty-four million, three hundred seventy-eight thousand, six hundred twenty-four".