149956416 has 84 divisors (see below), whose sum is σ = 431921412. Its totient is φ = 49741824.

The previous prime is 149956403. The next prime is 149956421. The reversal of 149956416 is 614659941.

It is a happy number.

149956416 is a `hidden beast` number, since 149 + 95 + 6 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 81000000 = 8304^2 + 9000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147526 + ... + 148538.

Almost surely, 2^149956416 is an apocalyptic number.

149956416 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 149956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215960706).

149956416 is an abundant number, since it is smaller than the sum of its proper divisors (281964996).

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

149956416 is a wasteful number, since it uses less digits than its factorization.

149956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1275 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 149956416 is about 12245.6692752989. The cubic root of 149956416 is about 531.2778185940.

The spelling of 149956416 in words is "one hundred forty-nine million, nine hundred fifty-six thousand, four hundred sixteen".