125836869600 has 1728 divisors, whose sum is σ = 548183039040. Its totient is φ = 27869184000.

The previous prime is 125836869569. The next prime is 125836869607. The reversal of 125836869600 is 6968638521.

It is a happy number.

125836869600 is a `hidden beast` number, since 1 + 25 + 8 + 3 + 6 + 8 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125836869607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1245909550 + ... + 1245909650.

It is an arithmetic number, because the mean of its divisors is an integer number (317235555).

Almost surely, 2^125836869600 is an apocalyptic number.

125836869600 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 125836869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274091519520).

125836869600 is an abundant number, since it is smaller than the sum of its proper divisors (422346169440).

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

125836869600 is a wasteful number, since it uses less digits than its factorization.

125836869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 125836869600 in words is "one hundred twenty-five billion, eight hundred thirty-six million, eight hundred sixty-nine thousand, six hundred".