125056820 has 36 divisors (see below), whose sum is σ = 305498340. Its totient is φ = 42876288.

The previous prime is 125056807. The next prime is 125056823. The reversal of 125056820 is 28650521.

It can be written as a sum of positive squares in 2 ways, for example, as 20322064 + 104734756 = 4508^2 + 10234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125056823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62825 + ... + 64784.

It is an arithmetic number, because the mean of its divisors is an integer number (8486065).

Almost surely, 2^125056820 is an apocalyptic number.

125056820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125056820 is an abundant number, since it is smaller than the sum of its proper divisors (180441520).

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

125056820 is a wasteful number, since it uses less digits than its factorization.

125056820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127632 (or 127623 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 125056820 is about 11182.8806664473. The cubic root of 125056820 is about 500.0757485237.

The spelling of 125056820 in words is "one hundred twenty-five million, fifty-six thousand, eight hundred twenty".