126319296 has 112 divisors (see below), whose sum is σ = 363484160. Its totient is φ = 38568960.

The previous prime is 126319267. The next prime is 126319339. The reversal of 126319296 is 692913621.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 112530 + ... + 113646.

Almost surely, 2^126319296 is an apocalyptic number.

126319296 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 126319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181742080).

126319296 is an abundant number, since it is smaller than the sum of its proper divisors (237164864).

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

126319296 is a wasteful number, since it uses less digits than its factorization.

126319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 126319296 is about 11239.1857356305. The cubic root of 126319296 is about 501.7529087735.

The spelling of 126319296 in words is "one hundred twenty-six million, three hundred nineteen thousand, two hundred ninety-six".