131670727537440 has 384 divisors, whose sum is σ = 516627625070592. Its totient is φ = 27446364057600.

The previous prime is 131670727537361. The next prime is 131670727537441. The reversal of 131670727537440 is 44735727076131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131670727537441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14533836 + ... + 21784715.

It is an arithmetic number, because the mean of its divisors is an integer number (1345384440288).

Almost surely, 2^{131670727537440} is an apocalyptic number.

131670727537440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131670727537440 is an abundant number, since it is smaller than the sum of its proper divisors (384956897533152).

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

131670727537440 is a wasteful number, since it uses less digits than its factorization.

131670727537440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36318672 (or 36318664 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 57.

The spelling of 131670727537440 in words is "one hundred thirty-one trillion, six hundred seventy billion, seven hundred twenty-seven million, five hundred thirty-seven thousand, four hundred forty".