126314320 has 60 divisors (see below), whose sum is σ = 322830900. Its totient is φ = 45928960.

The previous prime is 126314281. The next prime is 126314341. The reversal of 126314320 is 23413621.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 67699984 = 7656^2 + 8228^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 126314291 and 126314300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3156 + ... + 16204.

It is an arithmetic number, because the mean of its divisors is an integer number (5380515).

Almost surely, 2^126314320 is an apocalyptic number.

126314320 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 126314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161415450).

126314320 is an abundant number, since it is smaller than the sum of its proper divisors (196516580).

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

126314320 is a wasteful number, since it uses less digits than its factorization.

126314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126314320 is about 11238.9643651005. The cubic root of 126314320 is about 501.7463202967.

Adding to 126314320 its reverse (23413621), we get a palindrome (149727941).

The spelling of 126314320 in words is "one hundred twenty-six million, three hundred fourteen thousand, three hundred twenty".