151563456 has 168 divisors, whose sum is σ = 499262400. Its totient is φ = 43476480.

The previous prime is 151563439. The next prime is 151563469. The reversal of 151563456 is 654365151.

151563456 is a `hidden beast` number, since 1 + 5 + 15 + 634 + 5 + 6 = 666.

151563456 is digitally balanced in base 3, because in such base 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 self number, because there is not a number n which added to its sum of digits gives 151563456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119755 + ... + 121013.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^151563456 is an apocalyptic number.

151563456 is a gapful number since it is divisible by the number (16) 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 151563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

151563456 is an abundant number, since it is smaller than the sum of its proper divisors (347698944).

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

151563456 is a wasteful number, since it uses less digits than its factorization.

151563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 151563456 is about 12311.1110790213. Note that the first 3 decimals coincide. The cubic root of 151563456 is about 533.1689298823.

The spelling of 151563456 in words is "one hundred fifty-one million, five hundred sixty-three thousand, four hundred fifty-six".