150368000 has 144 divisors (see below), whose sum is σ = 387738624. Its totient is φ = 58060800.

The previous prime is 150367991. The next prime is 150368039. The reversal of 150368000 is 863051.

It is a super-2 number, since 2×150368000² = 45221070848000000, which contains 22 as substring.

It is a congruent number.

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, 1183937 + ... + 1184063.

Almost surely, 2^150368000 is an apocalyptic number.

150368000 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 150368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869312).

150368000 is an abundant number, since it is smaller than the sum of its proper divisors (237370624).

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

150368000 is an equidigital number, since it uses as much as digits as its factorization.

150368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 150368000 is about 12262.4630478546. The cubic root of 150368000 is about 531.7634390244.

The spelling of 150368000 in words is "one hundred fifty million, three hundred sixty-eight thousand".