126091140504 has 256 divisors, whose sum is σ = 402643353600. Its totient is φ = 32033138688.

The previous prime is 126091140503. The next prime is 126091140509. The reversal of 126091140504 is 405041190621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126091140503) 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, 20780079 + ... + 20786145.

It is an arithmetic number, because the mean of its divisors is an integer number (1572825600).

Almost surely, 2^126091140504 is an apocalyptic number.

126091140504 is a gapful number since it is divisible by the number (14) 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 126091140504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201321676800).

126091140504 is an abundant number, since it is smaller than the sum of its proper divisors (276552213096).

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

126091140504 is a wasteful number, since it uses less digits than its factorization.

126091140504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 126091140504 in words is "one hundred twenty-six billion, ninety-one million, one hundred forty thousand, five hundred four".