149280480 has 144 divisors (see below), whose sum is σ = 515970000. Its totient is φ = 39297024.

The previous prime is 149280479. The next prime is 149280497. The reversal of 149280480 is 84082941.

149280480 is a `hidden beast` number, since 14 + 92 + 80 + 480 = 666.

149280480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118896 + ... + 120144.

It is an arithmetic number, because the mean of its divisors is an integer number (3583125).

Almost surely, 2^149280480 is an apocalyptic number.

149280480 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 149280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257985000).

149280480 is an abundant number, since it is smaller than the sum of its proper divisors (366689520).

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

149280480 is a wasteful number, since it uses less digits than its factorization.

149280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

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

The square root of 149280480 is about 12218.0391225434. The cubic root of 149280480 is about 530.4783624657.

The spelling of 149280480 in words is "one hundred forty-nine million, two hundred eighty thousand, four hundred eighty".