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135136126431 = 3252972834647
BaseRepresentation
bin111110111011010111…
…1011010010111011111
3110220210212110111112200
41331312233122113133
54203224322021211
6142025232102543
712522541056615
oct1756657322737
9426725414480
10135136126431
1152346902a19
1222234994a53
13c987cb55b7
14677d6836b5
1537adc08b56
hex1f76bda5df

135136126431 has 12 divisors (see below), whose sum is σ = 195233546352. Its totient is φ = 90073711296.

The previous prime is 135136126429. The next prime is 135136126483. The reversal of 135136126431 is 134621631531.

135136126431 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 6 + 1 + 2 + 643 + 1 = 666.

It is not a de Polignac number, because 135136126431 - 21 = 135136126429 is a prime.

It is a super-2 number, since 2×1351361264312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135136126231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369651 + ... + 1464996.

It is an arithmetic number, because the mean of its divisors is an integer number (16269462196).

Almost surely, 2135136126431 is an apocalyptic number.

135136126431 is a deficient number, since it is larger than the sum of its proper divisors (60097419921).

135136126431 is a wasteful number, since it uses less digits than its factorization.

135136126431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839950 (or 2839947 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 135136126431 its reverse (134621631531), we get a palindrome (269757757962).

The spelling of 135136126431 in words is "one hundred thirty-five billion, one hundred thirty-six million, one hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 5297 15891 47673 2834647 8503941 25511823 15015125159 45045375477 135136126431