150058920 has 128 divisors (see below), whose sum is σ = 497664000. Its totient is φ = 35892480.

The previous prime is 150058901. The next prime is 150058927. The reversal of 150058920 is 29850051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (150058927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103561 + ... + 104999.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 2^150058920 is an apocalyptic number.

150058920 is a gapful number since it is divisible by the number (10) 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 150058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

150058920 is an abundant number, since it is smaller than the sum of its proper divisors (347605080).

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

150058920 is a wasteful number, since it uses less digits than its factorization.

150058920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 150058920 is about 12249.8538766795. The cubic root of 150058920 is about 531.3988441988.

The spelling of 150058920 in words is "one hundred fifty million, fifty-eight thousand, nine hundred twenty".