131456114435151 has 48 divisors (see below), whose sum is σ = 210785457392640. Its totient is φ = 78271102080000.

The previous prime is 131456114435147. The next prime is 131456114435183. The reversal of 131456114435151 is 151534411654131.

131456114435151 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 61 + 1 + 4 + 435 + 151 = 666.

It is not a de Polignac number, because 131456114435151 - 2² = 131456114435147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131456114435097 and 131456114435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131456114435101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322786 + ... + 16380096.

It is an arithmetic number, because the mean of its divisors is an integer number (4391363695680).

Almost surely, 2^{131456114435151} is an apocalyptic number.

131456114435151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131456114435151 is a deficient number, since it is larger than the sum of its proper divisors (79329342957489).

131456114435151 is a wasteful number, since it uses less digits than its factorization.

131456114435151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058988 (or 14058985 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 131456114435151 in words is "one hundred thirty-one trillion, four hundred fifty-six billion, one hundred fourteen million, four hundred thirty-five thousand, one hundred fifty-one".