125405820 has 120 divisors (see below), whose sum is σ = 396396000. Its totient is φ = 33187968.

The previous prime is 125405807. The next prime is 125405849. The reversal of 125405820 is 28504521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322186 + ... + 322574.

It is an arithmetic number, because the mean of its divisors is an integer number (3303300).

Almost surely, 2^125405820 is an apocalyptic number.

125405820 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 125405820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198198000).

125405820 is an abundant number, since it is smaller than the sum of its proper divisors (270990180).

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

125405820 is a wasteful number, since it uses less digits than its factorization.

125405820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 125405820 is about 11198.4740031845. The cubic root of 125405820 is about 500.5405088232.

The spelling of 125405820 in words is "one hundred twenty-five million, four hundred five thousand, eight hundred twenty".