13125126 has 64 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 3576960.

The previous prime is 13125113. The next prime is 13125127. The reversal of 13125126 is 62152131.

13125126 = T₁₉₃₃ + T₁₉₃₄ + ... + T₁₉₃₉.

13125126 is a nontrivial binomial coefficient, being equal to C(5124, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125127) 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, 120360 + ... + 120468.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^13125126 is an apocalyptic number.

13125126 is the 5123-rd triangular number and also the 2562-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

13125126 is an abundant number, since it is smaller than the sum of its proper divisors (18301434).

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

13125126 is a wasteful number, since it uses less digits than its factorization.

13125126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229.

The product of its digits is 360, while the sum is 21.

The square root of 13125126 is about 3622.8615761577. The cubic root of 13125126 is about 235.8854538444.

Adding to 13125126 its reverse (62152131), we get a palindrome (75277257).

The spelling of 13125126 in words is "thirteen million, one hundred twenty-five thousand, one hundred twenty-six".