149944800 has 72 divisors (see below), whose sum is σ = 488078136. Its totient is φ = 39984640.

The previous prime is 149944793. The next prime is 149944807. The reversal of 149944800 is 8449941.

It is an interprime number because it is at equal distance from previous prime (149944793) and next prime (149944807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149944807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28839 + ... + 33638.

It is an arithmetic number, because the mean of its divisors is an integer number (6778863).

Almost surely, 2^149944800 is an apocalyptic number.

149944800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149944800 is an abundant number, since it is smaller than the sum of its proper divisors (338133336).

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

149944800 is a wasteful number, since it uses less digits than its factorization.

149944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62500 (or 62487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149944800 is about 12245.1949759896. The cubic root of 149944800 is about 531.2641002025.

The spelling of 149944800 in words is "one hundred forty-nine million, nine hundred forty-four thousand, eight hundred".