150361000 has 64 divisors (see below), whose sum is σ = 358609680. Its totient is φ = 58988800.

The previous prime is 150360989. The next prime is 150361009. The reversal of 150361000 is 163051.

150361000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4356 + 150356644 = 66^2 + 12262^2 .

It is not an unprimeable number, because it can be changed into a prime (150361009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51582 + ... + 54418.

Almost surely, 2^150361000 is an apocalyptic number.

150361000 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 150361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179304840).

150361000 is an abundant number, since it is smaller than the sum of its proper divisors (208248680).

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

150361000 is a wasteful number, since it uses less digits than its factorization.

150361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 150361000 is about 12262.1776206349. The cubic root of 150361000 is about 531.7551872646.

The spelling of 150361000 in words is "one hundred fifty million, three hundred sixty-one thousand".