126428736 has 112 divisors (see below), whose sum is σ = 402498560. Its totient is φ = 34214400.

The previous prime is 126428699. The next prime is 126428747. The reversal of 126428736 is 637824621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126428694 and 126428703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23061 + ... + 28011.

Almost surely, 2^126428736 is an apocalyptic number.

126428736 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 126428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201249280).

126428736 is an abundant number, since it is smaller than the sum of its proper divisors (276069824).

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

126428736 is a wasteful number, since it uses less digits than its factorization.

126428736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4982 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 126428736 is about 11244.0533616663. The cubic root of 126428736 is about 501.8977691646.

The spelling of 126428736 in words is "one hundred twenty-six million, four hundred twenty-eight thousand, seven hundred thirty-six".