149431200 has 288 divisors, whose sum is σ = 534340800. Its totient is φ = 36126720.

The previous prime is 149431193. The next prime is 149431201. The reversal of 149431200 is 2134941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (149431201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322344 + ... + 1322456.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^149431200 is an apocalyptic number.

149431200 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 149431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

149431200 is an abundant number, since it is smaller than the sum of its proper divisors (384909600).

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

149431200 is a wasteful number, since it uses less digits than its factorization.

149431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149431200 is about 12224.2054956549. The cubic root of 149431200 is about 530.6568336800.

The spelling of 149431200 in words is "one hundred forty-nine million, four hundred thirty-one thousand, two hundred".