126736320 has 112 divisors (see below), whose sum is σ = 406834848. Its totient is φ = 33423360.

The previous prime is 126736261. The next prime is 126736321. The reversal of 126736320 is 23637621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126736321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92440 + ... + 93800.

It is an arithmetic number, because the mean of its divisors is an integer number (3632454).

Almost surely, 2^126736320 is an apocalyptic number.

126736320 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 126736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203417424).

126736320 is an abundant number, since it is smaller than the sum of its proper divisors (280098528).

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

126736320 is a wasteful number, since it uses less digits than its factorization.

126736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 126736320 is about 11257.7226826743. The cubic root of 126736320 is about 502.3044559815.

The spelling of 126736320 in words is "one hundred twenty-six million, seven hundred thirty-six thousand, three hundred twenty".