126137680 has 20 divisors (see below), whose sum is σ = 293270292. Its totient is φ = 50455040.

The previous prime is 126137651. The next prime is 126137701. The reversal of 126137680 is 86731621.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 77862976 = 6948^2 + 8824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788281 + ... + 788440.

Almost surely, 2^126137680 is an apocalyptic number.

126137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126137680 is an abundant number, since it is smaller than the sum of its proper divisors (167132612).

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

126137680 is a wasteful number, since it uses less digits than its factorization.

126137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576734 (or 1576728 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 126137680 is about 11231.1032405548. The cubic root of 126137680 is about 501.5123277841.

The spelling of 126137680 in words is "one hundred twenty-six million, one hundred thirty-seven thousand, six hundred eighty".