126714332160 has 528 divisors, whose sum is σ = 485700140016. Its totient is φ = 30342905856.

The previous prime is 126714332117. The next prime is 126714332161. The reversal of 126714332160 is 61233417621.

126714332160 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 1 + 433 + 216 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1115136 + 126713217024 = 1056^2 + 355968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (126714332161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22161622 + ... + 22167338.

Almost surely, 2^126714332160 is an apocalyptic number.

126714332160 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 126714332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242850070008).

126714332160 is an abundant number, since it is smaller than the sum of its proper divisors (358985807856).

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

126714332160 is a wasteful number, since it uses less digits than its factorization.

126714332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 126714332160 its reverse (61233417621), we get a palindrome (187947749781).

The spelling of 126714332160 in words is "one hundred twenty-six billion, seven hundred fourteen million, three hundred thirty-two thousand, one hundred sixty".