126265716 has 168 divisors, whose sum is σ = 363575520. Its totient is φ = 38211264.

The previous prime is 126265703. The next prime is 126265717. The reversal of 126265716 is 617562621.

It is a happy number.

126265716 is a `hidden beast` number, since 12 + 626 + 5 + 7 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126265717) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2382346 + ... + 2382398.

It is an arithmetic number, because the mean of its divisors is an integer number (2164140).

Almost surely, 2^126265716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126265716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181787760).

126265716 is an abundant number, since it is smaller than the sum of its proper divisors (237309804).

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

126265716 is a wasteful number, since it uses less digits than its factorization.

126265716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126265716 is about 11236.8018581801. The cubic root of 126265716 is about 501.6819570301.

The spelling of 126265716 in words is "one hundred twenty-six million, two hundred sixty-five thousand, seven hundred sixteen".