151459728 has 80 divisors (see below), whose sum is σ = 452637696. Its totient is φ = 42744960.

The previous prime is 151459703. The next prime is 151459741. The reversal of 151459728 is 827954151.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 151459728.

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, 25173 + ... + 30603.

Almost surely, 2^151459728 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 151459728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226318848).

151459728 is an abundant number, since it is smaller than the sum of its proper divisors (301177968).

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

151459728 is a wasteful number, since it uses less digits than its factorization.

151459728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5526 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 151459728 is about 12306.8975781876. The cubic root of 151459728 is about 533.0472708985.

The spelling of 151459728 in words is "one hundred fifty-one million, four hundred fifty-nine thousand, seven hundred twenty-eight".