149919264 has 144 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 44167680.

The previous prime is 149919257. The next prime is 149919323. The reversal of 149919264 is 462919941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 116577 + ... + 117855.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^149919264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

149919264 is an abundant number, since it is smaller than the sum of its proper divisors (328114656).

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

149919264 is a wasteful number, since it uses less digits than its factorization.

149919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 149919264 is about 12244.1522368843. The cubic root of 149919264 is about 531.2339399251.

The spelling of 149919264 in words is "one hundred forty-nine million, nine hundred nineteen thousand, two hundred sixty-four".