972800158175 has 48 divisors (see below), whose sum is σ = 1276430088960. Its totient is φ = 733413507840.

The previous prime is 972800158163. The next prime is 972800158177. The reversal of 972800158175 is 571851008279.

It is not a de Polignac number, because 972800158175 - 2¹⁴ = 972800141791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972800158177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135351932 + ... + 135359118.

It is an arithmetic number, because the mean of its divisors is an integer number (26592293520).

Almost surely, 2^972800158175 is an apocalyptic number.

972800158175 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

972800158175 is a deficient number, since it is larger than the sum of its proper divisors (303629930785).

972800158175 is a wasteful number, since it uses less digits than its factorization.

972800158175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 53.

The spelling of 972800158175 in words is "nine hundred seventy-two billion, eight hundred million, one hundred fifty-eight thousand, one hundred seventy-five".