131461035192 has 48 divisors (see below), whose sum is σ = 364724221680. Its totient is φ = 42751555200.

The previous prime is 131461035149. The next prime is 131461035193. The reversal of 131461035192 is 291530164131.

131461035192 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 610 + 35 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131461035193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22263484 + ... + 22269387.

It is an arithmetic number, because the mean of its divisors is an integer number (7598421285).

Almost surely, 2^131461035192 is an apocalyptic number.

131461035192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131461035192 is an abundant number, since it is smaller than the sum of its proper divisors (233263186488).

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

131461035192 is a wasteful number, since it uses less digits than its factorization.

131461035192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44532924 (or 44532917 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 131461035192 in words is "one hundred thirty-one billion, four hundred sixty-one million, thirty-five thousand, one hundred ninety-two".