126536906496 has 576 divisors, whose sum is σ = 476023726080. Its totient is φ = 28738437120.

The previous prime is 126536906491. The next prime is 126536906501. The reversal of 126536906496 is 694609635621.

It is an interprime number because it is at equal distance from previous prime (126536906491) and next prime (126536906501).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126536906491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14602261 + ... + 14610923.

It is an arithmetic number, because the mean of its divisors is an integer number (826430080).

Almost surely, 2^126536906496 is an apocalyptic number.

126536906496 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 126536906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238011863040).

126536906496 is an abundant number, since it is smaller than the sum of its proper divisors (349486819584).

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

126536906496 is a wasteful number, since it uses less digits than its factorization.

126536906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 126536906496 in words is "one hundred twenty-six billion, five hundred thirty-six million, nine hundred six thousand, four hundred ninety-six".