125605620 has 288 divisors, whose sum is σ = 468840960. Its totient is φ = 27820800.

The previous prime is 125605619. The next prime is 125605633. The reversal of 125605620 is 26506521.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243570 + ... + 1243670.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^125605620 is an apocalyptic number.

125605620 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 125605620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

125605620 is an abundant number, since it is smaller than the sum of its proper divisors (343235340).

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

125605620 is a wasteful number, since it uses less digits than its factorization.

125605620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125605620 is about 11207.3913110947. The cubic root of 125605620 is about 500.8061927412.

Subtracting from 125605620 its reverse (26506521), we obtain a palindrome (99099099).

The spelling of 125605620 in words is "one hundred twenty-five million, six hundred five thousand, six hundred twenty".