149630208 has 144 divisors (see below), whose sum is σ = 490363776. Its totient is φ = 39444480.

The previous prime is 149630207. The next prime is 149630231. The reversal of 149630208 is 802036941.

It is a super-2 number, since 2×149630208² = 44778398292246528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149630207) 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 15 ways as a sum of consecutive naturals, for example, 68818 + ... + 70958.

It is an arithmetic number, because the mean of its divisors is an integer number (3405304).

Almost surely, 2^149630208 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 149630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245181888).

149630208 is an abundant number, since it is smaller than the sum of its proper divisors (340733568).

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

149630208 is a wasteful number, since it uses less digits than its factorization.

149630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149630208 is about 12232.3427028513. The cubic root of 149630208 is about 530.8923001451.

The spelling of 149630208 in words is "one hundred forty-nine million, six hundred thirty thousand, two hundred eight".