149885568 has 96 divisors (see below), whose sum is σ = 492953760. Its totient is φ = 42822144.

The previous prime is 149885563. The next prime is 149885587. The reversal of 149885568 is 865588941.

It is a happy number.

149885568 is a `hidden beast` number, since 1 + 4 + 9 + 88 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (149885563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 17357.

It is an arithmetic number, because the mean of its divisors is an integer number (5134935).

Almost surely, 2^149885568 is an apocalyptic number.

149885568 is a gapful number since it is divisible by the number (18) 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 149885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246476880).

149885568 is an abundant number, since it is smaller than the sum of its proper divisors (343068192).

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

149885568 is a wasteful number, since it uses less digits than its factorization.

149885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18614 (or 18599 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 149885568 is about 12242.7761557581. The cubic root of 149885568 is about 531.1941367234.

The spelling of 149885568 in words is "one hundred forty-nine million, eight hundred eighty-five thousand, five hundred sixty-eight".