149042880 has 168 divisors, whose sum is σ = 585959712. Its totient is φ = 34062336.

The previous prime is 149042869. The next prime is 149042917. The reversal of 149042880 is 88240941.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16464 + ... + 23856.

Almost surely, 2^149042880 is an apocalyptic number.

149042880 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 149042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292979856).

149042880 is an abundant number, since it is smaller than the sum of its proper divisors (436916832).

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

149042880 is a wasteful number, since it uses less digits than its factorization.

149042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7410 counting only the distinct ones).

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

The square root of 149042880 is about 12208.3119226206. The cubic root of 149042880 is about 530.1967704163.

The spelling of 149042880 in words is "one hundred forty-nine million, forty-two thousand, eight hundred eighty".