149905728 has 280 divisors, whose sum is σ = 539934912. Its totient is φ = 40310784.

The previous prime is 149905709. The next prime is 149905741. The reversal of 149905728 is 827509941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8817976 + ... + 8817992.

Almost surely, 2^149905728 is an apocalyptic number.

149905728 is a gapful number since it is divisible by the number (18) 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 149905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269967456).

149905728 is an abundant number, since it is smaller than the sum of its proper divisors (390029184).

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

149905728 is an frugal number, since it uses more digits than its factorization.

149905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 149905728 is about 12243.5994707439. The cubic root of 149905728 is about 531.2179513215.

The spelling of 149905728 in words is "one hundred forty-nine million, nine hundred five thousand, seven hundred twenty-eight".