125848400 has 120 divisors (see below), whose sum is σ = 329815200. Its totient is φ = 45964800.

The previous prime is 125848369. The next prime is 125848409. The reversal of 125848400 is 4848521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125848409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220115 + ... + 220685.

It is an arithmetic number, because the mean of its divisors is an integer number (2748460).

Almost surely, 2^125848400 is an apocalyptic number.

125848400 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 125848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164907600).

125848400 is an abundant number, since it is smaller than the sum of its proper divisors (203966800).

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

125848400 is a wasteful number, since it uses less digits than its factorization.

125848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 125848400 is about 11218.2173271871. The cubic root of 125848400 is about 501.1286503797.

The spelling of 125848400 in words is "one hundred twenty-five million, eight hundred forty-eight thousand, four hundred".