149158800 has 240 divisors, whose sum is σ = 607044480. Its totient is φ = 34076160.

The previous prime is 149158771. The next prime is 149158811. The reversal of 149158800 is 8851941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74614 + ... + 76586.

It is an arithmetic number, because the mean of its divisors is an integer number (2529352).

Almost surely, 2^149158800 is an apocalyptic number.

149158800 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 149158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303522240).

149158800 is an abundant number, since it is smaller than the sum of its proper divisors (457885680).

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

149158800 is a wasteful number, since it uses less digits than its factorization.

149158800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 149158800 is about 12213.0585849737. The cubic root of 149158800 is about 530.3341905615.

The spelling of 149158800 in words is "one hundred forty-nine million, one hundred fifty-eight thousand, eight hundred".