125832345600 has 1152 divisors, whose sum is σ = 483690916800. Its totient is φ = 28626124800.

The previous prime is 125832345593. The next prime is 125832345671. The reversal of 125832345600 is 6543238521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2374195174 + ... + 2374195226.

Almost surely, 2^125832345600 is an apocalyptic number.

125832345600 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 125832345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845458400).

125832345600 is an abundant number, since it is smaller than the sum of its proper divisors (357858571200).

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

125832345600 is a wasteful number, since it uses less digits than its factorization.

125832345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 125832345600 in words is "one hundred twenty-five billion, eight hundred thirty-two million, three hundred forty-five thousand, six hundred".