131890892109375 has 384 divisors, whose sum is σ = 266631067422720. Its totient is φ = 57750420000000.

The previous prime is 131890892109371. The next prime is 131890892109391. The reversal of 131890892109375 is 573901298098131.

It is a Cunningham number, because it is equal to 11484376²-1.

It is not a de Polignac number, because 131890892109375 - 2² = 131890892109371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131890892109371) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43629139114 + ... + 43629142136.

It is an arithmetic number, because the mean of its divisors is an integer number (694351738080).

Almost surely, 2^{131890892109375} is an apocalyptic number.

131890892109375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131890892109375 is an abundant number, since it is smaller than the sum of its proper divisors (134740175313345).

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

131890892109375 is an frugal number, since it uses more digits than its factorization.

131890892109375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 66.

The spelling of 131890892109375 in words is "one hundred thirty-one trillion, eight hundred ninety billion, eight hundred ninety-two million, one hundred nine thousand, three hundred seventy-five".