115154361 has 45 divisors (see below), whose sum is σ = 196739439. Its totient is φ = 64901088.

The previous prime is 115154317. The next prime is 115154393. The reversal of 115154361 is 163451511.

115154361 = 1³ + 2³ + ... + 146³.

The square root of 115154361 is 10731.

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

115154361 is a `hidden beast` number, since 11 + 51 + 543 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65367225 + 49787136 = 8085^2 + 7056^2 .

It is not a de Polignac number, because 115154361 - 2¹⁵ = 115121593 is a prime.

It is a super-3 number, since 3×115154361³ (a number of 25 digits) contains 333 as substring.

115154361 is a Rhonda number in base 10.

Its product of digits (1800) is a multiple of the sum of its prime factors (180).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115154161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1577421 + ... + 1577493.

Almost surely, 2^115154361 is an apocalyptic number.

115154361 is the 10731-st square number.

115154361 is the 5366-th centered octagonal number.

It is an amenable number.

115154361 is a deficient number, since it is larger than the sum of its proper divisors (81585078).

115154361 is an frugal number, since it uses more digits than its factorization.

115154361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 83 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The cubic root of 115154361 is about 486.5118952287.

It can be divided in two parts, 11515 and 4361, that added together give a square (15876 = 126²).

The spelling of 115154361 in words is "one hundred fifteen million, one hundred fifty-four thousand, three hundred sixty-one".