131435075072 has 80 divisors (see below), whose sum is σ = 310479190560. Its totient is φ = 54386884608.

The previous prime is 131435075027. The next prime is 131435075087. The reversal of 131435075072 is 270570534131.

It is a happy number.

It is a super-3 number, since 3×131435075072³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528353 + ... + 736224.

It is an arithmetic number, because the mean of its divisors is an integer number (3880989882).

Almost surely, 2^131435075072 is an apocalyptic number.

It is an amenable number.

131435075072 is an abundant number, since it is smaller than the sum of its proper divisors (179044115488).

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

131435075072 is an equidigital number, since it uses as much as digits as its factorization.

131435075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264631 (or 1264615 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 131435075072 in words is "one hundred thirty-one billion, four hundred thirty-five million, seventy-five thousand, seventy-two".