152530245263352 has 256 divisors, whose sum is σ = 432934404940800. Its totient is φ = 44380060160000.

The previous prime is 152530245263317. The next prime is 152530245263353. The reversal of 152530245263352 is 253362542035251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152530245263353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182150674 + ... + 182986142.

It is an arithmetic number, because the mean of its divisors is an integer number (1691150019300).

Almost surely, 2^{152530245263352} is an apocalyptic number.

152530245263352 is a gapful number since it is divisible by the number (12) 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 152530245263352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216467202470400).

152530245263352 is an abundant number, since it is smaller than the sum of its proper divisors (280404159677448).

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

152530245263352 is a wasteful number, since it uses less digits than its factorization.

152530245263352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835798 (or 835794 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 152530245263352 in words is "one hundred fifty-two trillion, five hundred thirty billion, two hundred forty-five million, two hundred sixty-three thousand, three hundred fifty-two".