126937717536 has 288 divisors, whose sum is σ = 392815640448. Its totient is φ = 35784806400.

The previous prime is 126937717507. The next prime is 126937717541. The reversal of 126937717536 is 635717739621.

It is a super-2 number, since 2×126937717536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122882076 + ... + 122883108.

It is an arithmetic number, because the mean of its divisors is an integer number (1363943196).

Almost surely, 2^126937717536 is an apocalyptic number.

126937717536 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 126937717536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196407820224).

126937717536 is an abundant number, since it is smaller than the sum of its proper divisors (265877922912).

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

126937717536 is a wasteful number, since it uses less digits than its factorization.

126937717536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1369 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 57.

The spelling of 126937717536 in words is "one hundred twenty-six billion, nine hundred thirty-seven million, seven hundred seventeen thousand, five hundred thirty-six".