149929416 has 192 divisors, whose sum is σ = 511056000. Its totient is φ = 39457152.

The previous prime is 149929393. The next prime is 149929441. The reversal of 149929416 is 614929941.

149929416 is a `hidden beast` number, since 149 + 92 + 9 + 416 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320815 + ... + 321281.

It is an arithmetic number, because the mean of its divisors is an integer number (2661750).

Almost surely, 2^149929416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149929416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000).

149929416 is an abundant number, since it is smaller than the sum of its proper divisors (361126584).

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

149929416 is a wasteful number, since it uses less digits than its factorization.

149929416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 149929416 is about 12244.5667951137. The cubic root of 149929416 is about 531.2459307462.

The spelling of 149929416 in words is "one hundred forty-nine million, nine hundred twenty-nine thousand, four hundred sixteen".