125256544 has 144 divisors (see below), whose sum is σ = 314399232. Its totient is φ = 48771072.

The previous prime is 125256541. The next prime is 125256577. The reversal of 125256544 is 445652521.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125256541) 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, 986209 + ... + 986335.

It is an arithmetic number, because the mean of its divisors is an integer number (2183328).

Almost surely, 2^125256544 is an apocalyptic number.

125256544 is a gapful number since it is divisible by the number (14) 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 125256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157199616).

125256544 is an abundant number, since it is smaller than the sum of its proper divisors (189142688).

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

125256544 is a wasteful number, since it uses less digits than its factorization.

125256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 125256544 is about 11191.8070033395. The cubic root of 125256544 is about 500.3418249249.

The spelling of 125256544 in words is "one hundred twenty-five million, two hundred fifty-six thousand, five hundred forty-four".