126114640 has 40 divisors (see below), whose sum is σ = 294121800. Its totient is φ = 50290176.

The previous prime is 126114607. The next prime is 126114661. The reversal of 126114640 is 46411621.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 125260864 = 924^2 + 11192^2 .

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

It is a congruent number.

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, 25662 + ... + 30178.

It is an arithmetic number, because the mean of its divisors is an integer number (7353045).

Almost surely, 2^126114640 is an apocalyptic number.

126114640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126114640 is an abundant number, since it is smaller than the sum of its proper divisors (168007160).

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

126114640 is a wasteful number, since it uses less digits than its factorization.

126114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 126114640 is about 11230.0774707924. The cubic root of 126114640 is about 501.4817909199.

The spelling of 126114640 in words is "one hundred twenty-six million, one hundred fourteen thousand, six hundred forty".