126386732160 has 512 divisors, whose sum is σ = 497629440000. Its totient is φ = 30105354240.

The previous prime is 126386732159. The next prime is 126386732161. The reversal of 126386732160 is 61237683621.

126386732160 is a `hidden beast` number, since 1 + 2 + 638 + 6 + 7 + 3 + 2 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126386732159) and next prime (126386732161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126386732161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6954766 + ... + 6972914.

It is an arithmetic number, because the mean of its divisors is an integer number (971932500).

Almost surely, 2^126386732160 is an apocalyptic number.

126386732160 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 126386732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720000).

126386732160 is an abundant number, since it is smaller than the sum of its proper divisors (371242707840).

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

126386732160 is a wasteful number, since it uses less digits than its factorization.

126386732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221 (or 18203 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 126386732160 in words is "one hundred twenty-six billion, three hundred eighty-six million, seven hundred thirty-two thousand, one hundred sixty".