150972129 has 48 divisors (see below), whose sum is σ = 274120704. Its totient is φ = 77781600.

The previous prime is 150972049. The next prime is 150972149. The reversal of 150972129 is 921279051.

It is not a de Polignac number, because 150972129 - 2¹⁵ = 150939361 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150972093 and 150972102.

It is not an unprimeable number, because it can be changed into a prime (150972149) 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 47 ways as a sum of consecutive naturals, for example, 89952 + ... + 91614.

It is an arithmetic number, because the mean of its divisors is an integer number (5710848).

Almost surely, 2^150972129 is an apocalyptic number.

It is an amenable number.

150972129 is a deficient number, since it is larger than the sum of its proper divisors (123148575).

150972129 is a wasteful number, since it uses less digits than its factorization.

150972129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 150972129 is about 12287.0716202031. The cubic root of 150972129 is about 532.4746374219.

It can be divided in two parts, 150 and 972129, that added together give a palindrome (972279).

The spelling of 150972129 in words is "one hundred fifty million, nine hundred seventy-two thousand, one hundred twenty-nine".