239148900 has 108 divisors (see below), whose sum is σ = 768000324. Its totient is φ = 62208000.

The previous prime is 239148887. The next prime is 239148901. The reversal of 239148900 is 9841932.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 234273636 = 2208^2 + 15306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239148901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33660 + ... + 40140.

Almost surely, 2^239148900 is an apocalyptic number.

239148900 is a gapful number since it is divisible by the number (20) 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 239148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384000162).

239148900 is an abundant number, since it is smaller than the sum of its proper divisors (528851424).

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

239148900 is a wasteful number, since it uses less digits than its factorization.

239148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 239148900 is about 15464.4398540652. The cubic root of 239148900 is about 620.7110295641.

The spelling of 239148900 in words is "two hundred thirty-nine million, one hundred forty-eight thousand, nine hundred".