150133392 has 80 divisors (see below), whose sum is σ = 456310080. Its totient is φ = 47098368.

The previous prime is 150133381. The next prime is 150133429. The reversal of 150133392 is 293331051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2878 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (5703876).

Almost surely, 2^150133392 is an apocalyptic number.

150133392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150133392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228155040).

150133392 is an abundant number, since it is smaller than the sum of its proper divisors (306176688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150133392 is a wasteful number, since it uses less digits than its factorization.

150133392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20477 (or 20465 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 150133392 is about 12252.8932093608. The cubic root of 150133392 is about 531.4867380958.

The spelling of 150133392 in words is "one hundred fifty million, one hundred thirty-three thousand, three hundred ninety-two".