126157844736 has 720 divisors, whose sum is σ = 473603695488. Its totient is φ = 32718090240.

The previous prime is 126157844717. The next prime is 126157844803. The reversal of 126157844736 is 637448751621.

126157844736 is a `hidden beast` number, since 1 + 2 + 61 + 578 + 4 + 4 + 7 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193196986 + ... + 193197638.

Almost surely, 2^126157844736 is an apocalyptic number.

126157844736 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 126157844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236801847744).

126157844736 is an abundant number, since it is smaller than the sum of its proper divisors (347445850752).

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

126157844736 is an frugal number, since it uses more digits than its factorization.

126157844736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 676 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 126157844736 in words is "one hundred twenty-six billion, one hundred fifty-seven million, eight hundred forty-four thousand, seven hundred thirty-six".