126337216320 has 1792 divisors, whose sum is σ = 574412912640. Its totient is φ = 25798901760.

The previous prime is 126337216267. The next prime is 126337216333. The reversal of 126337216320 is 23612733621.

126337216320 is a `hidden beast` number, since 1 + 2 + 633 + 7 + 2 + 16 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×126337216320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3081395500 + ... + 3081395540.

It is an arithmetic number, because the mean of its divisors is an integer number (320542920).

Almost surely, 2^126337216320 is an apocalyptic number.

126337216320 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 126337216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287206456320).

126337216320 is an abundant number, since it is smaller than the sum of its proper divisors (448075696320).

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

126337216320 is an equidigital number, since it uses as much as digits as its factorization.

126337216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 126337216320 its reverse (23612733621), we get a palindrome (149949949941).

The spelling of 126337216320 in words is "one hundred twenty-six billion, three hundred thirty-seven million, two hundred sixteen thousand, three hundred twenty".