168125952 has 80 divisors (see below), whose sum is σ = 467470080. Its totient is φ = 53594112.

The previous prime is 168125939. The next prime is 168125957. The reversal of 168125952 is 259521861.

It is a self number, because there is not a number n which added to its sum of digits gives 168125952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168125957) 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, 32949 + ... + 37707.

It is an arithmetic number, because the mean of its divisors is an integer number (5843376).

Almost surely, 2^168125952 is an apocalyptic number.

168125952 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 168125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040).

168125952 is an abundant number, since it is smaller than the sum of its proper divisors (299344128).

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

168125952 is an equidigital number, since it uses as much as digits as its factorization.

168125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4787 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 168125952 is about 12966.3391903806. The cubic root of 168125952 is about 551.9226944882.

The spelling of 168125952 in words is "one hundred sixty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".