131752747616238 has 64 divisors (see below), whose sum is σ = 337017420096000. Its totient is φ = 37372824591552.

The previous prime is 131752747616221. The next prime is 131752747616239. The reversal of 131752747616238 is 832616747257131.

131752747616238 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 2 + 7 + 4 + 7 + 616 + 2 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131752747616239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253732503 + ... + 1253837586.

It is an arithmetic number, because the mean of its divisors is an integer number (5265897189000).

Almost surely, 2^{131752747616238} is an apocalyptic number.

131752747616238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131752747616238 is an abundant number, since it is smaller than the sum of its proper divisors (205264672479762).

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

131752747616238 is a wasteful number, since it uses less digits than its factorization.

131752747616238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507570246 (or 2507570240 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 131752747616238 in words is "one hundred thirty-one trillion, seven hundred fifty-two billion, seven hundred forty-seven million, six hundred sixteen thousand, two hundred thirty-eight".