131752950677712 has 1440 divisors, whose sum is σ = 486496264151040. Its totient is φ = 32537655521280.

The previous prime is 131752950677683. The next prime is 131752950677741. The reversal of 131752950677712 is 217776059257131.

It is a happy number.

131752950677712 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 52 + 9 + 506 + 7 + 7 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131752950677683) and next prime (131752950677741).

It is a super-2 number, since 2×131752950677712² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131752950677712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24751631883 + ... + 24751637205.

Almost surely, 2^{131752950677712} is an apocalyptic number.

131752950677712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131752950677712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243248132075520).

131752950677712 is an abundant number, since it is smaller than the sum of its proper divisors (354743313473328).

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

131752950677712 is a wasteful number, since it uses less digits than its factorization.

131752950677712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 63.

The spelling of 131752950677712 in words is "one hundred thirty-one trillion, seven hundred fifty-two billion, nine hundred fifty million, six hundred seventy-seven thousand, seven hundred twelve".