149232800 has 72 divisors (see below), whose sum is σ = 385779996. Its totient is φ = 56176640.

The previous prime is 149232781. The next prime is 149232823. The reversal of 149232800 is 8232941.

149232800 is digitally balanced in base 3, 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 6 ways, for example, as 80209936 + 69022864 = 8956^2 + 8308^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8114 + ... + 19086.

Almost surely, 2^149232800 is an apocalyptic number.

149232800 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 149232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192889998).

149232800 is an abundant number, since it is smaller than the sum of its proper divisors (236547196).

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

149232800 is a wasteful number, since it uses less digits than its factorization.

149232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 149232800 is about 12216.0877534504. The cubic root of 149232800 is about 530.4218784081.

The spelling of 149232800 in words is "one hundred forty-nine million, two hundred thirty-two thousand, eight hundred".