168125400 has 288 divisors, whose sum is σ = 612817920. Its totient is φ = 41184000.

The previous prime is 168125387. The next prime is 168125417. The reversal of 168125400 is 4521861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1283335 + ... + 1283465.

It is an arithmetic number, because the mean of its divisors is an integer number (2127840).

Almost surely, 2^168125400 is an apocalyptic number.

168125400 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 168125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

168125400 is an abundant number, since it is smaller than the sum of its proper divisors (444692520).

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

168125400 is a wasteful number, since it uses less digits than its factorization.

168125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 168125400 is about 12966.3179044785. The cubic root of 168125400 is about 551.9220904536.

The spelling of 168125400 in words is "one hundred sixty-eight million, one hundred twenty-five thousand, four hundred".