150363120 has 80 divisors (see below), whose sum is σ = 474960672. Its totient is φ = 39336960.

The previous prime is 150363091. The next prime is 150363127. The reversal of 150363120 is 21363051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×150363120² = 45218135712268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150363127) 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, 6810 + ... + 18630.

Almost surely, 2^150363120 is an apocalyptic number.

150363120 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 150363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237480336).

150363120 is an abundant number, since it is smaller than the sum of its proper divisors (324597552).

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

150363120 is a wasteful number, since it uses less digits than its factorization.

150363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11890 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 150363120 is about 12262.2640650085. The cubic root of 150363120 is about 531.7576863961.

The spelling of 150363120 in words is "one hundred fifty million, three hundred sixty-three thousand, one hundred twenty".