131772763785138 has 96 divisors (see below), whose sum is σ = 309149775083520. Its totient is φ = 36679983504000.

The previous prime is 131772763785127. The next prime is 131772763785203. The reversal of 131772763785138 is 831587367277131.

It is a super-2 number, since 2×131772763785138² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49464913 + ... + 52060763.

It is an arithmetic number, because the mean of its divisors is an integer number (3220310157120).

Almost surely, 2^{131772763785138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131772763785138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154574887541760).

131772763785138 is an abundant number, since it is smaller than the sum of its proper divisors (177377011298382).

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

131772763785138 is a wasteful number, since it uses less digits than its factorization.

131772763785138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596664 (or 2596623 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 69.

The spelling of 131772763785138 in words is "one hundred thirty-one trillion, seven hundred seventy-two billion, seven hundred sixty-three million, seven hundred eighty-five thousand, one hundred thirty-eight".