152517140147089 has 9 divisors (see below), whose sum is σ = 152663786389179. Its totient is φ = 152370634671360.

The previous prime is 152517140147087. The next prime is 152517140147093. The reversal of 152517140147089 is 980741041715251.

The square root of 152517140147089 is 12349783.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120533500500625 + 31983639646464 = 10978775^2 + 5655408^2 .

It is not a de Polignac number, because 152517140147089 - 2¹ = 152517140147087 is a prime.

It is a super-2 number, since 2×152517140147089² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152517140147081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14239294444 + ... + 14239305154.

It is an arithmetic number, because the mean of its divisors is an integer number (16962642932131).

Almost surely, 2^{152517140147089} is an apocalyptic number.

152517140147089 is the 12349783-rd square number.

152517140147089 is the 6174892-nd centered octagonal number.

It is an amenable number.

152517140147089 is a deficient number, since it is larger than the sum of its proper divisors (146646242090).

152517140147089 is an frugal number, since it uses more digits than its factorization.

152517140147089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23728 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 55.

The spelling of 152517140147089 in words is "one hundred fifty-two trillion, five hundred seventeen billion, one hundred forty million, one hundred forty-seven thousand, eighty-nine".