125847600 has 240 divisors, whose sum is σ = 442828800. Its totient is φ = 30412800.

The previous prime is 125847593. The next prime is 125847611. The reversal of 125847600 is 6748521.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632301 + ... + 632499.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^125847600 is an apocalyptic number.

125847600 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 125847600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

125847600 is an abundant number, since it is smaller than the sum of its proper divisors (316981200).

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

125847600 is a wasteful number, since it uses less digits than its factorization.

125847600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 125847600 is about 11218.1816708413. The cubic root of 125847600 is about 501.1275885101.

The spelling of 125847600 in words is "one hundred twenty-five million, eight hundred forty-seven thousand, six hundred".