972005002136 has 32 divisors (see below), whose sum is σ = 2095646211840. Its totient is φ = 414017902368.

The previous prime is 972005002123. The next prime is 972005002141. The reversal of 972005002136 is 631200500279.

It is a junction number, because it is equal to n+sod(n) for n = 972005002096 and 972005002105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53233916 + ... + 53252171.

It is an arithmetic number, because the mean of its divisors is an integer number (65488944120).

Almost surely, 2^972005002136 is an apocalyptic number.

It is an amenable number.

972005002136 is an abundant number, since it is smaller than the sum of its proper divisors (1123641209704).

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

972005002136 is a wasteful number, since it uses less digits than its factorization.

972005002136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106486263 (or 106486259 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 972005002136 in words is "nine hundred seventy-two billion, five million, two thousand, one hundred thirty-six".