126137340 has 72 divisors (see below), whose sum is σ = 437280480. Its totient is φ = 28831104.

The previous prime is 126137321. The next prime is 126137351. The reversal of 126137340 is 43731621.

126137340 is a `hidden beast` number, since 1 + 2 + 613 + 7 + 3 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48795 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (6073340).

Almost surely, 2^126137340 is an apocalyptic number.

126137340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126137340 is an abundant number, since it is smaller than the sum of its proper divisors (311143140).

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

126137340 is a wasteful number, since it uses less digits than its factorization.

126137340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100131 (or 100126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126137340 is about 11231.0881040084. The cubic root of 126137340 is about 501.5118771804.

Adding to 126137340 its reverse (43731621), we get a palindrome (169868961).

The spelling of 126137340 in words is "one hundred twenty-six million, one hundred thirty-seven thousand, three hundred forty".