149916096 has 210 divisors, whose sum is σ = 490514640. Its totient is φ = 45239040.

The previous prime is 149916089. The next prime is 149916097. The reversal of 149916096 is 690619941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149916097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 627145 + ... + 627383.

It is an arithmetic number, because the mean of its divisors is an integer number (2335784).

Almost surely, 2^149916096 is an apocalyptic number.

149916096 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 149916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245257320).

149916096 is an abundant number, since it is smaller than the sum of its proper divisors (340598544).

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

149916096 is a wasteful number, since it uses less digits than its factorization.

149916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 149916096 is about 12244.0228683223. The cubic root of 149916096 is about 531.2301979978.

The spelling of 149916096 in words is "one hundred forty-nine million, nine hundred sixteen thousand, ninety-six".