125038620 has 192 divisors, whose sum is σ = 468249600. Its totient is φ = 27060480.

The previous prime is 125038567. The next prime is 125038657. The reversal of 125038620 is 26830521.

125038620 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 38 + 620 = 666.

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 63 ways as a sum of consecutive naturals, for example, 70950 + ... + 72690.

It is an arithmetic number, because the mean of its divisors is an integer number (2438800).

Almost surely, 2^125038620 is an apocalyptic number.

125038620 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 125038620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234124800).

125038620 is an abundant number, since it is smaller than the sum of its proper divisors (343210980).

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

125038620 is a wasteful number, since it uses less digits than its factorization.

125038620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125038620 is about 11182.0668930212. The cubic root of 125038620 is about 500.0514880311.

The spelling of 125038620 in words is "one hundred twenty-five million, thirty-eight thousand, six hundred twenty".