126337040 has 40 divisors (see below), whose sum is σ = 296498880. Its totient is φ = 50059136.

The previous prime is 126336943. The next prime is 126337063. The reversal of 126337040 is 40733621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126337040² = 31922095351923200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (7412472).

Almost surely, 2^126337040 is an apocalyptic number.

126337040 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 126337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148249440).

126337040 is an abundant number, since it is smaller than the sum of its proper divisors (170161840).

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

126337040 is a wasteful number, since it uses less digits than its factorization.

126337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14879 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 126337040 is about 11239.9750889404. The cubic root of 126337040 is about 501.7764013225.

The spelling of 126337040 in words is "one hundred twenty-six million, three hundred thirty-seven thousand, forty".