149965728 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 42613760.

The previous prime is 149965691. The next prime is 149965729. The reversal of 149965728 is 827569941.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (149965729) 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 31 ways as a sum of consecutive naturals, for example, 1806775 + ... + 1806857.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^149965728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

149965728 is an abundant number, since it is smaller than the sum of its proper divisors (307263072).

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

149965728 is a wasteful number, since it uses less digits than its factorization.

149965728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 149965728 is about 12246.0494854463. The cubic root of 149965728 is about 531.2888154707.

The spelling of 149965728 in words is "one hundred forty-nine million, nine hundred sixty-five thousand, seven hundred twenty-eight".