149084208 has 240 divisors, whose sum is σ = 531521536. Its totient is φ = 37946880.

The previous prime is 149084207. The next prime is 149084213. The reversal of 149084208 is 802480941.

It is a super-2 number, since 2×149084208² = 44452202149974528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149084207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406041 + ... + 406407.

Almost surely, 2^149084208 is an apocalyptic number.

149084208 is a gapful number since it is divisible by the number (18) 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 149084208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265760768).

149084208 is an abundant number, since it is smaller than the sum of its proper divisors (382437328).

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

149084208 is a wasteful number, since it uses less digits than its factorization.

149084208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 149084208 is about 12210.0044226036. The cubic root of 149084208 is about 530.2457718561.

The spelling of 149084208 in words is "one hundred forty-nine million, eighty-four thousand, two hundred eight".