150121728 has 144 divisors (see below), whose sum is σ = 456711360. Its totient is φ = 48605184.

The previous prime is 150121703. The next prime is 150121771. The reversal of 150121728 is 827121051.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 255451 + ... + 256037.

Almost surely, 2^150121728 is an apocalyptic number.

150121728 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 150121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228355680).

150121728 is an abundant number, since it is smaller than the sum of its proper divisors (306589632).

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

150121728 is an equidigital number, since it uses as much as digits as its factorization.

150121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 150121728 is about 12252.4172308977. The cubic root of 150121728 is about 531.4729738431.

Adding to 150121728 its reverse (827121051), we get a palindrome (977242779).

The spelling of 150121728 in words is "one hundred fifty million, one hundred twenty-one thousand, seven hundred twenty-eight".