131537734464 has 112 divisors (see below), whose sum is σ = 387893966400. Its totient is φ = 39094788096.

The previous prime is 131537734441. The next prime is 131537734529. The reversal of 131537734464 is 464437735131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998499 + ... + 1122530.

Almost surely, 2^131537734464 is an apocalyptic number.

It is an amenable number.

131537734464 is an abundant number, since it is smaller than the sum of its proper divisors (256356231936).

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

131537734464 is a wasteful number, since it uses less digits than its factorization.

131537734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121080 (or 2121070 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 131537734464 in words is "one hundred thirty-one billion, five hundred thirty-seven million, seven hundred thirty-four thousand, four hundred sixty-four".