125350020 has 72 divisors (see below), whose sum is σ = 382014360. Its totient is φ = 33269760.

The previous prime is 125349967. The next prime is 125350037. The reversal of 125350020 is 20053521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77158656 + 48191364 = 8784^2 + 6942^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125349975 and 125350002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39700 + ... + 42740.

It is an arithmetic number, because the mean of its divisors is an integer number (5305755).

Almost surely, 2^125350020 is an apocalyptic number.

125350020 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 125350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191007180).

125350020 is an abundant number, since it is smaller than the sum of its proper divisors (256664340).

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

125350020 is a wasteful number, since it uses less digits than its factorization.

125350020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 125350020 is about 11195.9823150986. The cubic root of 125350020 is about 500.4662584044.

The spelling of 125350020 in words is "one hundred twenty-five million, three hundred fifty thousand, twenty".