149233968 has 80 divisors (see below), whose sum is σ = 461324640. Its totient is φ = 45916416.

The previous prime is 149233967. The next prime is 149233979. The reversal of 149233968 is 869332941.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (149233967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7671 + ... + 18902.

It is an arithmetic number, because the mean of its divisors is an integer number (5766558).

Almost surely, 2^149233968 is an apocalyptic number.

149233968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149233968 is an abundant number, since it is smaller than the sum of its proper divisors (312090672).

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

149233968 is a wasteful number, since it uses less digits than its factorization.

149233968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26603 (or 26591 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 149233968 is about 12216.1355591693. The cubic root of 149233968 is about 530.4232622217.

The spelling of 149233968 in words is "one hundred forty-nine million, two hundred thirty-three thousand, nine hundred sixty-eight".