149205900 has 72 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 39659840.

The previous prime is 149205893. The next prime is 149205911. The reversal of 149205900 is 9502941.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125107 + ... + 126293.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^149205900 is an apocalyptic number.

149205900 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 149205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

149205900 is an abundant number, since it is smaller than the sum of its proper divisors (283891380).

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

149205900 is a wasteful number, since it uses less digits than its factorization.

149205900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 149205900 is about 12214.9866966772. The cubic root of 149205900 is about 530.3900060451.

The spelling of 149205900 in words is "one hundred forty-nine million, two hundred five thousand, nine hundred".