126456336 has 160 divisors (see below), whose sum is σ = 391582080. Its totient is φ = 38928384.

The previous prime is 126456331. The next prime is 126456361. The reversal of 126456336 is 633654621.

126456336 is a `hidden beast` number, since 1 + 2 + 64 + 563 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126456336.

It is not an unprimeable number, because it can be changed into a prime (126456331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491920 + ... + 492176.

It is an arithmetic number, because the mean of its divisors is an integer number (2447388).

Almost surely, 2^126456336 is an apocalyptic number.

126456336 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 126456336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195791040).

126456336 is an abundant number, since it is smaller than the sum of its proper divisors (265125744).

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

126456336 is a wasteful number, since it uses less digits than its factorization.

126456336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 126456336 is about 11245.2806101048. The cubic root of 126456336 is about 501.9342887380.

It can be divided in two parts, 12645 and 6336, that added together give a palindrome (18981).

The spelling of 126456336 in words is "one hundred twenty-six million, four hundred fifty-six thousand, three hundred thirty-six".