125196768 has 72 divisors (see below), whose sum is σ = 359272368. Its totient is φ = 41352192.

The previous prime is 125196763. The next prime is 125196787. The reversal of 125196768 is 867691521.

125196768 is a `hidden beast` number, since 12 + 519 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125196763) 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, 30621 + ... + 34467.

It is an arithmetic number, because the mean of its divisors is an integer number (4989894).

Almost surely, 2^125196768 is an apocalyptic number.

125196768 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 125196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179636184).

125196768 is an abundant number, since it is smaller than the sum of its proper divisors (234075600).

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

125196768 is a wasteful number, since it uses less digits than its factorization.

125196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3965 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 125196768 is about 11189.1361596863. The cubic root of 125196768 is about 500.2622197909.

The spelling of 125196768 in words is "one hundred twenty-five million, one hundred ninety-six thousand, seven hundred sixty-eight".