126406159320 has 512 divisors, whose sum is σ = 458842060800. Its totient is φ = 27249868800.

The previous prime is 126406159301. The next prime is 126406159367. The reversal of 126406159320 is 23951604621.

It is a super-2 number, since 2×126406159320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381891555 + ... + 381891885.

It is an arithmetic number, because the mean of its divisors is an integer number (896175900).

Almost surely, 2^126406159320 is an apocalyptic number.

126406159320 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 126406159320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229421030400).

126406159320 is an abundant number, since it is smaller than the sum of its proper divisors (332435901480).

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

126406159320 is a wasteful number, since it uses less digits than its factorization.

126406159320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 126406159320 in words is "one hundred twenty-six billion, four hundred six million, one hundred fifty-nine thousand, three hundred twenty".