131753673956352 has 88 divisors (see below), whose sum is σ = 401338944393856. Its totient is φ = 37643906838528.

The previous prime is 131753673956347. The next prime is 131753673956357. The reversal of 131753673956352 is 253659376357131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131753673956347) and next prime (131753673956357).

It is a super-2 number, since 2×131753673956352² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753673956357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3063447478 + ... + 3063490485.

Almost surely, 2^{131753673956352} is an apocalyptic number.

131753673956352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131753673956352 is an abundant number, since it is smaller than the sum of its proper divisors (269585270437504).

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

131753673956352 is an equidigital number, since it uses as much as digits as its factorization.

131753673956352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126937993 (or 6126937975 counting only the distinct ones).

The product of its digits is 321489000, while the sum is 66.

The spelling of 131753673956352 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, six hundred seventy-three million, nine hundred fifty-six thousand, three hundred fifty-two".