149079168 has 288 divisors, whose sum is σ = 529074000. Its totient is φ = 40061952.

The previous prime is 149079167. The next prime is 149079173. The reversal of 149079168 is 861970941.

149079168 = 182³ + 183³ + ... + 202³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (149079163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072443 + ... + 1072581.

Almost surely, 2^149079168 is an apocalyptic number.

149079168 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 149079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264537000).

149079168 is an abundant number, since it is smaller than the sum of its proper divisors (379994832).

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

149079168 is a wasteful number, since it uses less digits than its factorization.

149079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 149079168 is about 12209.7980327277. The cubic root of 149079168 is about 530.2397965556.

The spelling of 149079168 in words is "one hundred forty-nine million, seventy-nine thousand, one hundred sixty-eight".