126265104 has 120 divisors (see below), whose sum is σ = 406352960. Its totient is φ = 35852544.

The previous prime is 126265093. The next prime is 126265129. The reversal of 126265104 is 401562621.

126265104 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 651 + 0 + 4 = 666.

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, 230559 + ... + 231105.

Almost surely, 2^126265104 is an apocalyptic number.

126265104 is a gapful number since it is divisible by the number (14) 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 126265104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203176480).

126265104 is an abundant number, since it is smaller than the sum of its proper divisors (280087856).

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

126265104 is a wasteful number, since it uses less digits than its factorization.

126265104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126265104 is about 11236.7746261995. The cubic root of 126265104 is about 501.6811464912.

It can be divided in two parts, 1262 and 65104, that added together give a palindrome (66366).

The spelling of 126265104 in words is "one hundred twenty-six million, two hundred sixty-five thousand, one hundred four".