149638080 has 224 divisors, whose sum is σ = 515502144. Its totient is φ = 36634624.

The previous prime is 149638079. The next prime is 149638141. The reversal of 149638080 is 80836941.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 864874 + ... + 865046.

Almost surely, 2^149638080 is an apocalyptic number.

149638080 is a gapful number since it is divisible by the number (10) 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 149638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257751072).

149638080 is an abundant number, since it is smaller than the sum of its proper divisors (365864064).

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

149638080 is a wasteful number, since it uses less digits than its factorization.

149638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149638080 is about 12232.6644685449. The cubic root of 149638080 is about 530.9016100096.

The spelling of 149638080 in words is "one hundred forty-nine million, six hundred thirty-eight thousand, eighty".