149628672 has 108 divisors (see below), whose sum is σ = 436365384. Its totient is φ = 49305600.

The previous prime is 149628653. The next prime is 149628673. The reversal of 149628672 is 276826941.

It is a happy number.

149628672 is a `hidden beast` number, since 14 + 9 + 628 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149628673) 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 11 ways as a sum of consecutive naturals, for example, 232383 + ... + 233025.

Almost surely, 2^149628672 is an apocalyptic number.

149628672 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 149628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218182692).

149628672 is an abundant number, since it is smaller than the sum of its proper divisors (286736712).

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

149628672 is a wasteful number, since it uses less digits than its factorization.

149628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 149628672 is about 12232.2799183145. The cubic root of 149628672 is about 530.8904835481.

The spelling of 149628672 in words is "one hundred forty-nine million, six hundred twenty-eight thousand, six hundred seventy-two".