149084160 has 192 divisors, whose sum is σ = 500048640. Its totient is φ = 37847040.

The previous prime is 149084153. The next prime is 149084161. The reversal of 149084160 is 61480941.

149084160 = 4066² + 4067² + ... + 4074².

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149084161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706455 + ... + 706665.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2^149084160 is an apocalyptic number.

149084160 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 149084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

149084160 is an abundant number, since it is smaller than the sum of its proper divisors (350964480).

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

149084160 is a wasteful number, since it uses less digits than its factorization.

149084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 149084160 is about 12210.0024570022. The cubic root of 149084160 is about 530.2457149491.

The spelling of 149084160 in words is "one hundred forty-nine million, eighty-four thousand, one hundred sixty".