126513135 has 24 divisors (see below), whose sum is σ = 250617120. Its totient is φ = 57834432.

The previous prime is 126513113. The next prime is 126513137. The reversal of 126513135 is 531315621.

126513135 is a `hidden beast` number, since 1 + 2 + 651 + 3 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 126513135 - 2⁶ = 126513071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126513099 and 126513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126513137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200500 + ... + 201129.

It is an arithmetic number, because the mean of its divisors is an integer number (10442380).

Almost surely, 2^126513135 is an apocalyptic number.

126513135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126513135 is a deficient number, since it is larger than the sum of its proper divisors (124103985).

126513135 is a wasteful number, since it uses less digits than its factorization.

126513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401647 (or 401644 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 126513135 is about 11247.8057860189. The cubic root of 126513135 is about 502.0094269220.

Adding to 126513135 its reverse (531315621), we get a palindrome (657828756).

It can be divided in two parts, 1265 and 13135, that added together give a square (14400 = 120²).

The spelling of 126513135 in words is "one hundred twenty-six million, five hundred thirteen thousand, one hundred thirty-five".