131405832075 has 216 divisors, whose sum is σ = 274041089712. Its totient is φ = 55350812160.

The previous prime is 131405831993. The next prime is 131405832121. The reversal of 131405832075 is 570238504131.

It is a happy number.

It is not a de Polignac number, because 131405832075 - 2¹¹ = 131405830027 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 49085637 + ... + 49088313.

Almost surely, 2^131405832075 is an apocalyptic number.

131405832075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131405832075 is an abundant number, since it is smaller than the sum of its proper divisors (142635257637).

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

131405832075 is a wasteful number, since it uses less digits than its factorization.

131405832075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 131405832075 in words is "one hundred thirty-one billion, four hundred five million, eight hundred thirty-two thousand, seventy-five".