126159316992 has 432 divisors, whose sum is σ = 389287325700. Its totient is φ = 40848261120.

The previous prime is 126159316991. The next prime is 126159317017. The reversal of 126159316992 is 299613951621.

126159316992 is a `hidden beast` number, since 1 + 2 + 615 + 9 + 3 + 16 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126098850816 + 60466176 = 355104^2 + 7776^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126159316991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 550913934 + ... + 550914162.

Almost surely, 2^126159316992 is an apocalyptic number.

126159316992 is a gapful number since it is divisible by the number (12) 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 126159316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194643662850).

126159316992 is an abundant number, since it is smaller than the sum of its proper divisors (263128008708).

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

126159316992 is an frugal number, since it uses more digits than its factorization.

126159316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 275 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The spelling of 126159316992 in words is "one hundred twenty-six billion, one hundred fifty-nine million, three hundred sixteen thousand, nine hundred ninety-two".