149721600 has 240 divisors, whose sum is σ = 566267328. Its totient is φ = 34160640.

The previous prime is 149721589. The next prime is 149721629. The reversal of 149721600 is 6127941.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268522 + ... + 269078.

Almost surely, 2^149721600 is an apocalyptic number.

149721600 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 149721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283133664).

149721600 is an abundant number, since it is smaller than the sum of its proper divisors (416545728).

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

149721600 is an equidigital number, since it uses as much as digits as its factorization.

149721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 149721600 is about 12236.0778029563. The cubic root of 149721600 is about 531.0003652985. Note that the first 3 decimals are identical.

The spelling of 149721600 in words is "one hundred forty-nine million, seven hundred twenty-one thousand, six hundred".