125139168 has 432 divisors, whose sum is σ = 487992960. Its totient is φ = 30792960.

The previous prime is 125139167. The next prime is 125139169. The reversal of 125139168 is 861931521.

It is an interprime number because it is at equal distance from previous prime (125139167) and next prime (125139169).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×125139168² = 31319622735464448, which contains 22 as substring.

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 (125139163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6586263 + ... + 6586281.

Almost surely, 2^125139168 is an apocalyptic number.

125139168 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 125139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

125139168 is an abundant number, since it is smaller than the sum of its proper divisors (362853792).

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

125139168 is a wasteful number, since it uses less digits than its factorization.

125139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

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

The square root of 125139168 is about 11186.5619383258. The cubic root of 125139168 is about 500.1854885128.

The spelling of 125139168 in words is "one hundred twenty-five million, one hundred thirty-nine thousand, one hundred sixty-eight".