150634702928889 has 27 divisors (see below), whose sum is σ = 217941393205263. Its totient is φ = 100258206237072.

The previous prime is 150634702928881. The next prime is 150634702928917. The reversal of 150634702928889 is 988829207436051.

The square root of 150634702928889 is 12273333.

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

150634702928889 is a `hidden beast` number, since 1 + 5 + 0 + 63 + 470 + 2 + 92 + 8 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149746004555625 + 888698373264 = 12237075^2 + 942708^2 .

It is not a de Polignac number, because 150634702928889 - 2³ = 150634702928881 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (150634702928881) 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, 24927136302 + ... + 24927142344.

It is a 2-persistent number, because it is pandigital, and so is 2⋅150634702928889 = 301269405857778, but 3⋅150634702928889 = 451904108786667 is not.

Almost surely, 2^{150634702928889} is an apocalyptic number.

150634702928889 is the 12273333-rd square number.

150634702928889 is the 6136667-th centered octagonal number.

It is an amenable number.

150634702928889 is a deficient number, since it is larger than the sum of its proper divisors (67306690276374).

150634702928889 is an frugal number, since it uses more digits than its factorization.

150634702928889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 150634702928889 in words is "one hundred fifty trillion, six hundred thirty-four billion, seven hundred two million, nine hundred twenty-eight thousand, eight hundred eighty-nine".