150728640 has 112 divisors (see below), whose sum is σ = 481596192. Its totient is φ = 39940096.

The previous prime is 150728623. The next prime is 150728651. The reversal of 150728640 is 46827051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188722 + ... + 189518.

It is an arithmetic number, because the mean of its divisors is an integer number (4299966).

Almost surely, 2^150728640 is an apocalyptic number.

150728640 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 150728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240798096).

150728640 is an abundant number, since it is smaller than the sum of its proper divisors (330867552).

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

150728640 is a wasteful number, since it uses less digits than its factorization.

150728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 150728640 is about 12277.1592805502. The cubic root of 150728640 is about 532.1882236724.

The spelling of 150728640 in words is "one hundred fifty million, seven hundred twenty-eight thousand, six hundred forty".