149193216 has 60 divisors (see below), whose sum is σ = 430595022. Its totient is φ = 49729536.

The previous prime is 149193211. The next prime is 149193227. The reversal of 149193216 is 612391941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 118722816 + 30470400 = 10896^2 + 5520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (149193211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11581 + ... + 20796.

Almost surely, 2^149193216 is an apocalyptic number.

149193216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149193216 is an abundant number, since it is smaller than the sum of its proper divisors (281401806).

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

149193216 is an equidigital number, since it uses as much as digits as its factorization.

149193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32401 (or 32382 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 149193216 is about 12214.4674873692. The cubic root of 149193216 is about 530.3749761267.

The spelling of 149193216 in words is "one hundred forty-nine million, one hundred ninety-three thousand, two hundred sixteen".