149145600 has 144 divisors (see below), whose sum is σ = 493562160. Its totient is φ = 39731200.

The previous prime is 149145599. The next prime is 149145613. The reversal of 149145600 is 6541941.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153115 + ... + 154085.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^149145600 is an apocalyptic number.

149145600 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 149145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

149145600 is an abundant number, since it is smaller than the sum of its proper divisors (344416560).

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

149145600 is an equidigital number, since it uses as much as digits as its factorization.

149145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 149145600 is about 12212.5181678473. The cubic root of 149145600 is about 530.3185458977.

The spelling of 149145600 in words is "one hundred forty-nine million, one hundred forty-five thousand, six hundred".