152005633424 has 80 divisors (see below), whose sum is σ = 312458751360. Its totient is φ = 71435520000.

The previous prime is 152005633421. The next prime is 152005633441. The reversal of 152005633424 is 424336500251.

It is not an unprimeable number, because it can be changed into a prime (152005633421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48702584 + ... + 48705704.

It is an arithmetic number, because the mean of its divisors is an integer number (3905734392).

Almost surely, 2^152005633424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152005633424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156229375680).

152005633424 is an abundant number, since it is smaller than the sum of its proper divisors (160453117936).

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

152005633424 is a wasteful number, since it uses less digits than its factorization.

152005633424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 152005633424 in words is "one hundred fifty-two billion, five million, six hundred thirty-three thousand, four hundred twenty-four".