972142255137000 has 128 divisors (see below), whose sum is σ = 3033124169212800. Its totient is φ = 259234487424000.

The previous prime is 972142255136867. The next prime is 972142255137017. The reversal of 972142255137000 is 731552241279.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227566731 + ... + 231799269.

It is an arithmetic number, because the mean of its divisors is an integer number (23696282571975).

Almost surely, 2^{972142255137000} is an apocalyptic number.

It is an amenable number.

972142255137000 is an abundant number, since it is smaller than the sum of its proper divisors (2060981914075800).

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

972142255137000 is a wasteful number, since it uses less digits than its factorization.

972142255137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309124 (or 4309110 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 972142255137000 in words is "nine hundred seventy-two trillion, one hundred forty-two billion, two hundred fifty-five million, one hundred thirty-seven thousand".