125794368 has 126 divisors (see below), whose sum is σ = 419529006. Its totient is φ = 35933184.

The previous prime is 125794367. The next prime is 125794381. The reversal of 125794368 is 863497521.

125794368 is a `hidden beast` number, since 12 + 579 + 4 + 3 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 10188864 = 10752^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (125794367) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25996 + ... + 30452.

Almost surely, 2^125794368 is an apocalyptic number.

125794368 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 125794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209764503).

125794368 is an abundant number, since it is smaller than the sum of its proper divisors (293734638).

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

125794368 is a wasteful number, since it uses less digits than its factorization.

125794368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4469 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 125794368 is about 11215.8088428789. The cubic root of 125794368 is about 501.0569215926.

The spelling of 125794368 in words is "one hundred twenty-five million, seven hundred ninety-four thousand, three hundred sixty-eight".