125386506 has 96 divisors (see below), whose sum is σ = 327794688. Its totient is φ = 33881760.

The previous prime is 125386489. The next prime is 125386507. The reversal of 125386506 is 605683521.

It is not an unprimeable number, because it can be changed into a prime (125386507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183241 + ... + 183923.

It is an arithmetic number, because the mean of its divisors is an integer number (3414528).

Almost surely, 2^125386506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125386506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163897344).

125386506 is an abundant number, since it is smaller than the sum of its proper divisors (202408182).

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

125386506 is a wasteful number, since it uses less digits than its factorization.

125386506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125386506 is about 11197.6116203412. The cubic root of 125386506 is about 500.5148110905.

It can be divided in two parts, 12538 and 6506, that added together give a square (19044 = 138²).

The spelling of 125386506 in words is "one hundred twenty-five million, three hundred eighty-six thousand, five hundred six".