125276544 has 160 divisors (see below), whose sum is σ = 382848840. Its totient is φ = 40642560.

The previous prime is 125276539. The next prime is 125276609. The reversal of 125276544 is 445672521.

It is a happy number.

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

Its product of digits (67200) is a multiple of the sum of its prime factors (350).

It is a junction number, because it is equal to n+sod(n) for n = 125276499 and 125276508.

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 19 ways as a sum of consecutive naturals, for example, 445684 + ... + 445964.

Almost surely, 2^125276544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191424420).

125276544 is an abundant number, since it is smaller than the sum of its proper divisors (257572296).

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

125276544 is an equidigital number, since it uses as much as digits as its factorization.

125276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 125276544 is about 11192.7004784368. The cubic root of 125276544 is about 500.3684537503.

The spelling of 125276544 in words is "one hundred twenty-five million, two hundred seventy-six thousand, five hundred forty-four".