151516728 has 96 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 45480960.

The previous prime is 151516723. The next prime is 151516751. The reversal of 151516728 is 827615151.

151516728 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151516692 and 151516701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151516721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88650 + ... + 90342.

Almost surely, 2^151516728 is an apocalyptic number.

151516728 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 151516728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

151516728 is an abundant number, since it is smaller than the sum of its proper divisors (300374712).

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

151516728 is a wasteful number, since it uses less digits than its factorization.

151516728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1822 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 151516728 is about 12309.2131348840. The cubic root of 151516728 is about 533.1141310999.

The spelling of 151516728 in words is "one hundred fifty-one million, five hundred sixteen thousand, seven hundred twenty-eight".