126505008 has 120 divisors (see below), whose sum is σ = 414619296. Its totient is φ = 35251200.

The previous prime is 126504979. The next prime is 126505009. The reversal of 126505008 is 800505621.

126505008 is a `hidden beast` number, since 1 + 2 + 650 + 5 + 0 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (126505009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39798 + ... + 42858.

Almost surely, 2^126505008 is an apocalyptic number.

126505008 is a gapful number since it is divisible by the number (18) 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 126505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207309648).

126505008 is an abundant number, since it is smaller than the sum of its proper divisors (288114288).

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

126505008 is a wasteful number, since it uses less digits than its factorization.

126505008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 126505008 is about 11247.4445097542. Note that the first 3 decimals coincide. The cubic root of 126505008 is about 501.9986772662.

The spelling of 126505008 in words is "one hundred twenty-six million, five hundred five thousand, eight".