150045952 has 144 divisors (see below), whose sum is σ = 367854592. Its totient is φ = 59719680.

The previous prime is 150045899. The next prime is 150045967. The reversal of 150045952 is 259540051.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055388 + ... + 2055460.

Almost surely, 2^150045952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183927296).

150045952 is an abundant number, since it is smaller than the sum of its proper divisors (217808640).

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

150045952 is an equidigital number, since it uses as much as digits as its factorization.

150045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 150045952 is about 12249.3245528070. The cubic root of 150045952 is about 531.3835360368.

The spelling of 150045952 in words is "one hundred fifty million, forty-five thousand, nine hundred fifty-two".