149484672 has 144 divisors (see below), whose sum is σ = 457967250. Its totient is φ = 46792704.

The previous prime is 149484661. The next prime is 149484677. The reversal of 149484672 is 276484941.

149484672 is a `hidden beast` number, since 149 + 48 + 467 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 149230656 + 254016 = 12216^2 + 504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (149484677) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 332704 + ... + 333152.

Almost surely, 2^149484672 is an apocalyptic number.

149484672 is a gapful number since it is divisible by the number (12) 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 149484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228983625).

149484672 is an abundant number, since it is smaller than the sum of its proper divisors (308482578).

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

149484672 is a wasteful number, since it uses less digits than its factorization.

149484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 471 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 149484672 is about 12226.3924360377. The cubic root of 149484672 is about 530.7201223335.

The spelling of 149484672 in words is "one hundred forty-nine million, four hundred eighty-four thousand, six hundred seventy-two".