125319168 has 144 divisors (see below), whose sum is σ = 390531960. Its totient is φ = 38486016.

The previous prime is 125319167. The next prime is 125319169. The reversal of 125319168 is 861913521.

It is an interprime number because it is at equal distance from previous prime (125319167) and next prime (125319169).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125319163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239355 + ... + 239877.

Almost surely, 2^125319168 is an apocalyptic number.

125319168 is a gapful number since it is divisible by the number (18) 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 125319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195265980).

125319168 is an abundant number, since it is smaller than the sum of its proper divisors (265212792).

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

125319168 is a wasteful number, since it uses less digits than its factorization.

125319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 541 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 125319168 is about 11194.6044146276. The cubic root of 125319168 is about 500.4251956482.

The spelling of 125319168 in words is "one hundred twenty-five million, three hundred nineteen thousand, one hundred sixty-eight".