125681920 has 216 divisors, whose sum is σ = 377044416. Its totient is φ = 39297024.

The previous prime is 125681917. The next prime is 125681929. The reversal of 125681920 is 29186521.

It is not an unprimeable number, because it can be changed into a prime (125681929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514199 + ... + 1514281.

It is an arithmetic number, because the mean of its divisors is an integer number (1745576).

Almost surely, 2^125681920 is an apocalyptic number.

125681920 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 125681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188522208).

125681920 is an abundant number, since it is smaller than the sum of its proper divisors (251362496).

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

125681920 is an equidigital number, since it uses as much as digits as its factorization.

125681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 125681920 is about 11210.7947978723. The cubic root of 125681920 is about 500.9075782733.

The spelling of 125681920 in words is "one hundred twenty-five million, six hundred eighty-one thousand, nine hundred twenty".