149374800 has 120 divisors (see below), whose sum is σ = 531702080. Its totient is φ = 39830400.

The previous prime is 149374781. The next prime is 149374807. The reversal of 149374800 is 8473941.

It is a happy number.

149374800 is a `hidden beast` number, since 149 + 37 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (149374807) 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 23 ways as a sum of consecutive naturals, for example, 3885 + ... + 17715.

Almost surely, 2^149374800 is an apocalyptic number.

149374800 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 149374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265851040).

149374800 is an abundant number, since it is smaller than the sum of its proper divisors (382327280).

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

149374800 is a wasteful number, since it uses less digits than its factorization.

149374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149374800 is about 12221.8983795481. The cubic root of 149374800 is about 530.5900631270.

The spelling of 149374800 in words is "one hundred forty-nine million, three hundred seventy-four thousand, eight hundred".