152563520 has 56 divisors (see below), whose sum is σ = 364406688. Its totient is φ = 60838400.

The previous prime is 152563513. The next prime is 152563529. The reversal of 152563520 is 25365251.

It is a happy number.

152563520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152563529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156635 + ... + 157605.

Almost surely, 2^152563520 is an apocalyptic number.

152563520 is a gapful number since it is divisible by the number (10) 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 152563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182203344).

152563520 is an abundant number, since it is smaller than the sum of its proper divisors (211843168).

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

152563520 is an equidigital number, since it uses as much as digits as its factorization.

152563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 152563520 is about 12351.6606170992. The cubic root of 152563520 is about 534.3390329291.

The spelling of 152563520 in words is "one hundred fifty-two million, five hundred sixty-three thousand, five hundred twenty".