150976000 has 160 divisors (see below), whose sum is σ = 431525952. Its totient is φ = 51609600.

The previous prime is 150975989. The next prime is 150976013. The reversal of 150976000 is 679051.

It is a happy number.

150976000 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 150976000.

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, 447832 + ... + 448168.

Almost surely, 2^150976000 is an apocalyptic number.

150976000 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 150976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215762976).

150976000 is an abundant number, since it is smaller than the sum of its proper divisors (280549952).

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

150976000 is an frugal number, since it uses more digits than its factorization.

150976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 150976000 is about 12287.2291424877. The cubic root of 150976000 is about 532.4791883540.

The spelling of 150976000 in words is "one hundred fifty million, nine hundred seventy-six thousand".