150020200 has 192 divisors, whose sum is σ = 415598400. Its totient is φ = 49766400.

The previous prime is 150020179. The next prime is 150020207. The reversal of 150020200 is 2020051.

150020200 = 63³ + 64³ + ... + 157³.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (150020207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546552 + ... + 1546648.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2^150020200 is an apocalyptic number.

150020200 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 150020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

150020200 is an abundant number, since it is smaller than the sum of its proper divisors (265578200).

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

150020200 is a wasteful number, since it uses less digits than its factorization.

150020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 150020200 is about 12248.2733477009. The cubic root of 150020200 is about 531.3531343020.

Adding to 150020200 its reverse (2020051), we get a palindrome (152040251).

The spelling of 150020200 in words is "one hundred fifty million, twenty thousand, two hundred".