131227876320 has 384 divisors, whose sum is σ = 447075707904. Its totient is φ = 32268386304.

The previous prime is 131227876313. The next prime is 131227876387. The reversal of 131227876320 is 23678722131.

It is a happy number.

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, 46156819 + ... + 46159661.

It is an arithmetic number, because the mean of its divisors is an integer number (1164259656).

Almost surely, 2^131227876320 is an apocalyptic number.

131227876320 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 131227876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223537853952).

131227876320 is an abundant number, since it is smaller than the sum of its proper divisors (315847831584).

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

131227876320 is a wasteful number, since it uses less digits than its factorization.

131227876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 131227876320 in words is "one hundred thirty-one billion, two hundred twenty-seven million, eight hundred seventy-six thousand, three hundred twenty".