131257784735 has 32 divisors (see below), whose sum is σ = 196682010624. Its totient is φ = 81695232000.

The previous prime is 131257784677. The next prime is 131257784741. The reversal of 131257784735 is 537487752131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-131257784735 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19151 + ... + 512720.

It is an arithmetic number, because the mean of its divisors is an integer number (6146312832).

Almost surely, 2^131257784735 is an apocalyptic number.

131257784735 is a deficient number, since it is larger than the sum of its proper divisors (65424225889).

131257784735 is a wasteful number, since it uses less digits than its factorization.

131257784735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532535.

The product of its digits is 4939200, while the sum is 53.

The spelling of 131257784735 in words is "one hundred thirty-one billion, two hundred fifty-seven million, seven hundred eighty-four thousand, seven hundred thirty-five".