151363728 has 140 divisors (see below), whose sum is σ = 463519440. Its totient is φ = 47729088.

The previous prime is 151363721. The next prime is 151363739. The reversal of 151363728 is 827363151.

151363728 is a `hidden beast` number, since 1 + 5 + 13 + 637 + 2 + 8 = 666.

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 = 151363692 and 151363701.

It is not an unprimeable number, because it can be changed into a prime (151363721) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221275 + ... + 221957.

Almost surely, 2^151363728 is an apocalyptic number.

151363728 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 151363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231759720).

151363728 is an abundant number, since it is smaller than the sum of its proper divisors (312155712).

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

151363728 is an equidigital number, since it uses as much as digits as its factorization.

151363728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 151363728 is about 12302.9967081195. The cubic root of 151363728 is about 532.9346263162.

The spelling of 151363728 in words is "one hundred fifty-one million, three hundred sixty-three thousand, seven hundred twenty-eight".