150250800 has 240 divisors, whose sum is σ = 568788992. Its totient is φ = 33177600.

The previous prime is 150250787. The next prime is 150250817. The reversal of 150250800 is 8052051.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260112 + ... + 260688.

Almost surely, 2^150250800 is an apocalyptic number.

150250800 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 150250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284394496).

150250800 is an abundant number, since it is smaller than the sum of its proper divisors (418538192).

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

150250800 is a wasteful number, since it uses less digits than its factorization.

150250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 150250800 is about 12257.6833047685. The cubic root of 150250800 is about 531.6252472240.

The spelling of 150250800 in words is "one hundred fifty million, two hundred fifty thousand, eight hundred".