125693820 has 108 divisors (see below), whose sum is σ = 443550744. Its totient is φ = 28728000.

The previous prime is 125693803. The next prime is 125693831. The reversal of 125693820 is 28396521.

125693820 is a `hidden beast` number, since 12 + 569 + 3 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1695 + ... + 15945.

Almost surely, 2^125693820 is an apocalyptic number.

125693820 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 125693820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221775372).

125693820 is an abundant number, since it is smaller than the sum of its proper divisors (317856924).

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

125693820 is a wasteful number, since it uses less digits than its factorization.

125693820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125693820 is about 11211.3255237728. The cubic root of 125693820 is about 500.9233869965.

The spelling of 125693820 in words is "one hundred twenty-five million, six hundred ninety-three thousand, eight hundred twenty".