149418400 has 36 divisors (see below), whose sum is σ = 364769622. Its totient is φ = 59767040.

The previous prime is 149418383. The next prime is 149418403. The reversal of 149418400 is 4814941.

149418400 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 3 ways, for example, as 57335184 + 92083216 = 7572^2 + 9596^2 .

It is not an unprimeable number, because it can be changed into a prime (149418403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92587 + ... + 94186.

Almost surely, 2^149418400 is an apocalyptic number.

149418400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149418400 is an abundant number, since it is smaller than the sum of its proper divisors (215351222).

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

149418400 is a wasteful number, since it uses less digits than its factorization.

149418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186793 (or 186780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 149418400 is about 12223.6819330347. The cubic root of 149418400 is about 530.6416815533.

The spelling of 149418400 in words is "one hundred forty-nine million, four hundred eighteen thousand, four hundred".