131672914296 has 512 divisors, whose sum is σ = 447654297600. Its totient is φ = 31248322560.

The previous prime is 131672914273. The next prime is 131672914363. The reversal of 131672914296 is 692419276131.

It is a happy number.

It is a super-2 number, since 2×131672914296² (a number of 23 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 127 ways as a sum of consecutive naturals, for example, 120468726 + ... + 120469818.

It is an arithmetic number, because the mean of its divisors is an integer number (874324800).

Almost surely, 2^131672914296 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 131672914296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223827148800).

131672914296 is an abundant number, since it is smaller than the sum of its proper divisors (315981383304).

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

131672914296 is a wasteful number, since it uses less digits than its factorization.

131672914296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 131672914296 in words is "one hundred thirty-one billion, six hundred seventy-two million, nine hundred fourteen thousand, two hundred ninety-six".