126253662153336 has 144 divisors (see below), whose sum is σ = 350519996015280. Its totient is φ = 41053456128000.

The previous prime is 126253662153299. The next prime is 126253662153349. The reversal of 126253662153336 is 633351266352621.

126253662153336 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 5 + 3 + 6 + 621 + 5 + 3 + 3 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1164636736 + ... + 1164745136.

It is an arithmetic number, because the mean of its divisors is an integer number (2434166638995).

Almost surely, 2^{126253662153336} 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 126253662153336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175259998007640).

126253662153336 is an abundant number, since it is smaller than the sum of its proper divisors (224266333861944).

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

126253662153336 is a wasteful number, since it uses less digits than its factorization.

126253662153336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118118 (or 118070 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 126253662153336 in words is "one hundred twenty-six trillion, two hundred fifty-three billion, six hundred sixty-two million, one hundred fifty-three thousand, three hundred thirty-six".