149579456 has 112 divisors (see below), whose sum is σ = 338901024. Its totient is φ = 65028096.

The previous prime is 149579449. The next prime is 149579471. The reversal of 149579456 is 654975941.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323656 + ... + 1323768.

It is an arithmetic number, because the mean of its divisors is an integer number (3025902).

Almost surely, 2^149579456 is an apocalyptic number.

149579456 is a gapful number since it is divisible by the number (16) 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 149579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169450512).

149579456 is an abundant number, since it is smaller than the sum of its proper divisors (189321568).

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

149579456 is a wasteful number, since it uses less digits than its factorization.

149579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 149579456 is about 12230.2680264988. The cubic root of 149579456 is about 530.8322701702.

The spelling of 149579456 in words is "one hundred forty-nine million, five hundred seventy-nine thousand, four hundred fifty-six".