126909732096 has 504 divisors, whose sum is σ = 457005859520. Its totient is φ = 34344787968.

The previous prime is 126909732029. The next prime is 126909732107. The reversal of 126909732096 is 690237909621.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×126909732096² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24818436 + ... + 24823548.

Almost surely, 2^126909732096 is an apocalyptic number.

126909732096 is a gapful number since it is divisible by the number (16) 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 126909732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228502929760).

126909732096 is an abundant number, since it is smaller than the sum of its proper divisors (330096127424).

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

126909732096 is an frugal number, since it uses more digits than its factorization.

126909732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 126909732096 in words is "one hundred twenty-six billion, nine hundred nine million, seven hundred thirty-two thousand, ninety-six".