152972000193 has 16 divisors (see below), whose sum is σ = 205569378560. Its totient is φ = 101178973584.

The previous prime is 152972000183. The next prime is 152972000197. The reversal of 152972000193 is 391000279251.

It is not a de Polignac number, because 152972000193 - 2⁹ = 152971999681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152972000197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494730 + ... + 742092.

It is an arithmetic number, because the mean of its divisors is an integer number (12848086160).

Almost surely, 2^152972000193 is an apocalyptic number.

It is an amenable number.

152972000193 is a deficient number, since it is larger than the sum of its proper divisors (52597378367).

152972000193 is a wasteful number, since it uses less digits than its factorization.

152972000193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248988.

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 152972000193 in words is "one hundred fifty-two billion, nine hundred seventy-two million, one hundred ninety-three", and thus it is an aban number.