149318400 has 432 divisors, whose sum is σ = 620460288. Its totient is φ = 30720000.

The previous prime is 149318381. The next prime is 149318401. The reversal of 149318400 is 4813941.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (149318401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1478350 + ... + 1478450.

Almost surely, 2^149318400 is an apocalyptic number.

149318400 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 149318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310230144).

149318400 is an abundant number, since it is smaller than the sum of its proper divisors (471141888).

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

149318400 is a wasteful number, since it uses less digits than its factorization.

149318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149318400 is about 12219.5908278469. The cubic root of 149318400 is about 530.5232757646.

The spelling of 149318400 in words is "one hundred forty-nine million, three hundred eighteen thousand, four hundred".