150728040 has 128 divisors (see below), whose sum is σ = 508924800. Its totient is φ = 40170816.

The previous prime is 150728033. The next prime is 150728041. The reversal of 150728040 is 40827051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150727995 and 150728013.

It is not an unprimeable number, because it can be changed into a prime (150728041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 86619 + ... + 88341.

It is an arithmetic number, because the mean of its divisors is an integer number (3975975).

Almost surely, 2^150728040 is an apocalyptic number.

150728040 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 150728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254462400).

150728040 is an abundant number, since it is smaller than the sum of its proper divisors (358196760).

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

150728040 is an equidigital number, since it uses as much as digits as its factorization.

150728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 150728040 is about 12277.1348449058. The cubic root of 150728040 is about 532.1875175174.

The spelling of 150728040 in words is "one hundred fifty million, seven hundred twenty-eight thousand, forty".