125848800 has 432 divisors, whose sum is σ = 555714432. Its totient is φ = 26035200.

The previous prime is 125848787. The next prime is 125848813. The reversal of 125848800 is 8848521.

It is an interprime number because it is at equal distance from previous prime (125848787) and next prime (125848813).

It is a super-2 number, since 2×125848800² = 31675840922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554287 + ... + 554513.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^125848800 is an apocalyptic number.

125848800 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 125848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

125848800 is an abundant number, since it is smaller than the sum of its proper divisors (429865632).

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

125848800 is a wasteful number, since it uses less digits than its factorization.

125848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 125848800 is about 11218.2351553174. The cubic root of 125848800 is about 501.1291813128.

The spelling of 125848800 in words is "one hundred twenty-five million, eight hundred forty-eight thousand, eight hundred".