149390400 has 84 divisors (see below), whose sum is σ = 490140752. Its totient is φ = 39836160.

The previous prime is 149390399. The next prime is 149390447. The reversal of 149390400 is 4093941.

It is a super-2 number, since 2×149390400² = 44634983224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10762 + ... + 20361.

Almost surely, 2^149390400 is an apocalyptic number.

149390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149390400 is an abundant number, since it is smaller than the sum of its proper divisors (340750352).

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

149390400 is a wasteful number, since it uses less digits than its factorization.

149390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31148 (or 31133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 149390400 is about 12222.5365616144. The cubic root of 149390400 is about 530.6085332591.

The spelling of 149390400 in words is "one hundred forty-nine million, three hundred ninety thousand, four hundred".