125000820 has 240 divisors, whose sum is σ = 457298688. Its totient is φ = 27993600.

The previous prime is 125000819. The next prime is 125000833. The reversal of 125000820 is 28000521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125000793 and 125000802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 827745 + ... + 827895.

Almost surely, 2^125000820 is an apocalyptic number.

125000820 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 125000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228649344).

125000820 is an abundant number, since it is smaller than the sum of its proper divisors (332297868).

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

125000820 is a wasteful number, since it uses less digits than its factorization.

125000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125000820 is about 11180.3765589536. The cubic root of 125000820 is about 500.0010933309.

The spelling of 125000820 in words is "one hundred twenty-five million, eight hundred twenty", and thus it is an aban number.