149949216 has 144 divisors (see below), whose sum is σ = 456674400. Its totient is φ = 46531584.

The previous prime is 149949209. The next prime is 149949221. The reversal of 149949216 is 612949941.

149949216 is a `hidden beast` number, since 149 + 9 + 492 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366420 + ... + 366828.

It is an arithmetic number, because the mean of its divisors is an integer number (3171350).

Almost surely, 2^149949216 is an apocalyptic number.

149949216 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 149949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228337200).

149949216 is an abundant number, since it is smaller than the sum of its proper divisors (306725184).

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

149949216 is a wasteful number, since it uses less digits than its factorization.

149949216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

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

The square root of 149949216 is about 12245.3752902882. The cubic root of 149949216 is about 531.2693155422.

The spelling of 149949216 in words is "one hundred forty-nine million, nine hundred forty-nine thousand, two hundred sixteen".