150259342689 has 27 divisors (see below), whose sum is σ = 218698239123. Its totient is φ = 99413909712.

The previous prime is 150259342679. The next prime is 150259342711. The reversal of 150259342689 is 986243952051.

The square root of 150259342689 is 387633.

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

150259342689 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 593 + 42 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44043318225 + 106216024464 = 209865^2 + 325908^2 .

It is not a de Polignac number, because 150259342689 - 2⁵ = 150259342657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150259342619) 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, 182574732 + ... + 182575554.

Almost surely, 2^150259342689 is an apocalyptic number.

150259342689 is the 387633-rd square number.

150259342689 is the 193817-th centered octagonal number.

It is an amenable number.

150259342689 is a deficient number, since it is larger than the sum of its proper divisors (68438896434).

150259342689 is an frugal number, since it uses more digits than its factorization.

150259342689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 150259342689 in words is "one hundred fifty billion, two hundred fifty-nine million, three hundred forty-two thousand, six hundred eighty-nine".