126140286187520 has 1152 divisors, whose sum is σ = 368087577661440. Its totient is φ = 40951873536000.

The previous prime is 126140286187511. The next prime is 126140286187543. The reversal of 126140286187520 is 25781682041621.

It is a super-3 number, since 3×126140286187520³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729134602154 + ... + 729134602326.

It is an arithmetic number, because the mean of its divisors is an integer number (319520466720).

Almost surely, 2^{126140286187520} is an apocalyptic number.

126140286187520 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 126140286187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184043788830720).

126140286187520 is an abundant number, since it is smaller than the sum of its proper divisors (241947291473920).

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

126140286187520 is a wasteful number, since it uses less digits than its factorization.

126140286187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 126140286187520 in words is "one hundred twenty-six trillion, one hundred forty billion, two hundred eighty-six million, one hundred eighty-seven thousand, five hundred twenty".