126145782840 has 512 divisors, whose sum is σ = 479001600000. Its totient is φ = 25816320000.

The previous prime is 126145782821. The next prime is 126145782859. The reversal of 126145782840 is 48287541621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126145782821) and next prime (126145782859).

It is a self number, because there is not a number n which added to its sum of digits gives 126145782840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252796911 + ... + 252797409.

It is an arithmetic number, because the mean of its divisors is an integer number (935550000).

Almost surely, 2^126145782840 is an apocalyptic number.

126145782840 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 126145782840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800000).

126145782840 is an abundant number, since it is smaller than the sum of its proper divisors (352855817160).

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

126145782840 is a wasteful number, since it uses less digits than its factorization.

126145782840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 126145782840 in words is "one hundred twenty-six billion, one hundred forty-five million, seven hundred eighty-two thousand, eight hundred forty".