149768300 has 72 divisors (see below), whose sum is σ = 375444720. Its totient is φ = 51251200.

The previous prime is 149768299. The next prime is 149768321. The reversal of 149768300 is 3867941.

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, 14696 + ... + 22704.

It is an arithmetic number, because the mean of its divisors is an integer number (5214510).

Almost surely, 2^149768300 is an apocalyptic number.

149768300 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 149768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187722360).

149768300 is an abundant number, since it is smaller than the sum of its proper divisors (225676420).

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

149768300 is a wasteful number, since it uses less digits than its factorization.

149768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 149768300 is about 12237.9859454078. The cubic root of 149768300 is about 531.0555680643.

The spelling of 149768300 in words is "one hundred forty-nine million, seven hundred sixty-eight thousand, three hundred".