125126526 has 64 divisors (see below), whose sum is σ = 298027008. Its totient is φ = 34276608.

The previous prime is 125126501. The next prime is 125126527. The reversal of 125126526 is 625621521.

It is a junction number, because it is equal to n+sod(n) for n = 125126493 and 125126502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125126527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112891 + ... + 113993.

It is an arithmetic number, because the mean of its divisors is an integer number (4656672).

Almost surely, 2^125126526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149013504).

125126526 is an abundant number, since it is smaller than the sum of its proper divisors (172900482).

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

125126526 is a wasteful number, since it uses less digits than its factorization.

125126526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225.

The product of its digits is 7200, while the sum is 30.

The square root of 125126526 is about 11185.9968710884. The cubic root of 125126526 is about 500.1686444450.

The spelling of 125126526 in words is "one hundred twenty-five million, one hundred twenty-six thousand, five hundred twenty-six".