150360000 has 280 divisors, whose sum is σ = 571317120. Its totient is φ = 34176000.

The previous prime is 150359987. The next prime is 150360017. The reversal of 150360000 is 63051.

150360000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839911 + ... + 840089.

Almost surely, 2^150360000 is an apocalyptic number.

150360000 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 150360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285658560).

150360000 is an abundant number, since it is smaller than the sum of its proper divisors (420957120).

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

150360000 is an equidigital number, since it uses as much as digits as its factorization.

150360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 150360000 is about 12262.1368447755. The cubic root of 150360000 is about 531.7540084209.

The spelling of 150360000 in words is "one hundred fifty million, three hundred sixty thousand".