152533520 has 80 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 54392832.

The previous prime is 152533487. The next prime is 152533531. The reversal of 152533520 is 25335251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 152533520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22889 + ... + 28791.

It is an arithmetic number, because the mean of its divisors is an integer number (4941648).

Almost surely, 2^152533520 is an apocalyptic number.

152533520 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 152533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

152533520 is an abundant number, since it is smaller than the sum of its proper divisors (242798320).

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

152533520 is a wasteful number, since it uses less digits than its factorization.

152533520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 152533520 is about 12350.4461457876. The cubic root of 152533520 is about 534.3040065964.

Adding to 152533520 its reverse (25335251), we get a palindrome (177868771).

The spelling of 152533520 in words is "one hundred fifty-two million, five hundred thirty-three thousand, five hundred twenty".