152911105312729 has 27 divisors (see below), whose sum is σ = 158239893535101. Its totient is φ = 147759508013760.

The previous prime is 152911105312723. The next prime is 152911105312759. The reversal of 152911105312729 is 927213501119251.

The square root of 152911105312729 is 12365723.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19137361389129 + 133773743923600 = 4374627^2 + 11566060^2 .

It is not a de Polignac number, because 152911105312729 - 2¹³ = 152911105304537 is a prime.

It is a super-2 number, since 2×152911105312729² (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 (152911105312723) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55262414704 + ... + 55262417470.

Almost surely, 2^{152911105312729} is an apocalyptic number.

152911105312729 is the 12365723-rd square number.

152911105312729 is the 6182862-nd centered octagonal number.

It is an amenable number.

152911105312729 is a deficient number, since it is larger than the sum of its proper divisors (5328788222372).

152911105312729 is an frugal number, since it uses more digits than its factorization.

152911105312729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 49.

The spelling of 152911105312729 in words is "one hundred fifty-two trillion, nine hundred eleven billion, one hundred five million, three hundred twelve thousand, seven hundred twenty-nine".