149268480 has 192 divisors, whose sum is σ = 492972480. Its totient is φ = 38535168.

The previous prime is 149268479. The next prime is 149268529. The reversal of 149268480 is 84862941.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320904 + ... + 1321016.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^149268480 is an apocalyptic number.

149268480 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 149268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

149268480 is an abundant number, since it is smaller than the sum of its proper divisors (343704000).

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

149268480 is a wasteful number, since it uses less digits than its factorization.

149268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 149268480 is about 12217.5480355102. The cubic root of 149268480 is about 530.4641478121.

The spelling of 149268480 in words is "one hundred forty-nine million, two hundred sixty-eight thousand, four hundred eighty".