126282136320 has 360 divisors, whose sum is σ = 478447288704. Its totient is φ = 31693897728.

The previous prime is 126282136289. The next prime is 126282136363. The reversal of 126282136320 is 23631282621.

126282136320 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 2 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1726737 + ... + 1798383.

Almost surely, 2^126282136320 is an apocalyptic number.

126282136320 is a gapful number since it is divisible by the number (10) 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 126282136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239223644352).

126282136320 is an abundant number, since it is smaller than the sum of its proper divisors (352165152384).

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

126282136320 is an equidigital number, since it uses as much as digits as its factorization.

126282136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71697 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 126282136320 in words is "one hundred twenty-six billion, two hundred eighty-two million, one hundred thirty-six thousand, three hundred twenty".