131055417524040 has 128 divisors (see below), whose sum is σ = 410268320179200. Its totient is φ = 33427985944320.

The previous prime is 131055417523999. The next prime is 131055417524113. The reversal of 131055417524040 is 40425714550131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131055417523983 and 131055417524001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152505891 + ... + 153362829.

It is an arithmetic number, because the mean of its divisors is an integer number (3205221251400).

Almost surely, 2^{131055417524040} is an apocalyptic number.

131055417524040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131055417524040 is an abundant number, since it is smaller than the sum of its proper divisors (279212902655160).

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

131055417524040 is a wasteful number, since it uses less digits than its factorization.

131055417524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912387 (or 912383 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 131055417524040 in words is "one hundred thirty-one trillion, fifty-five billion, four hundred seventeen million, five hundred twenty-four thousand, forty".