252145121400032 has 96 divisors (see below), whose sum is σ = 575831046954240. Its totient is φ = 106442492682240.

The previous prime is 252145121400031. The next prime is 252145121400047. The reversal of 252145121400032 is 230004121541252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252145121400031) 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, 236730107 + ... + 237792837.

It is an arithmetic number, because the mean of its divisors is an integer number (5998240072440).

Almost surely, 2^{252145121400032} 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 252145121400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287915523477120).

252145121400032 is an abundant number, since it is smaller than the sum of its proper divisors (323685925554208).

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

252145121400032 is a wasteful number, since it uses less digits than its factorization.

252145121400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078624 (or 1078616 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 252145121400032 its reverse (230004121541252), we get a palindrome (482149242941284).

The spelling of 252145121400032 in words is "two hundred fifty-two trillion, one hundred forty-five billion, one hundred twenty-one million, four hundred thousand, thirty-two".