149304064 has 216 divisors, whose sum is σ = 403976160. Its totient is φ = 53673984.

The previous prime is 149304059. The next prime is 149304097. The reversal of 149304064 is 460403941.

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, 5148402 + ... + 5148430.

It is an arithmetic number, because the mean of its divisors is an integer number (1870260).

Almost surely, 2^149304064 is an apocalyptic number.

149304064 is a gapful number since it is divisible by the number (14) 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 149304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201988080).

149304064 is an abundant number, since it is smaller than the sum of its proper divisors (254672096).

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

149304064 is a wasteful number, since it uses less digits than its factorization.

149304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 149304064 is about 12219.0042147468. The cubic root of 149304064 is about 530.5062967786.

The spelling of 149304064 in words is "one hundred forty-nine million, three hundred four thousand, sixty-four".