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135123637 = 1131478431
BaseRepresentation
bin10000000110111…
…01001010110101
3100102020222210011
420003131022311
5234042424022
621224100221
73230350315
oct1003351265
9312228704
10135123637
116a301430
1239304671
1321cc091c
1413d35445
15bce1977
hex80dd2b5

135123637 has 16 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 116334000.

The previous prime is 135123613. The next prime is 135123671. The reversal of 135123637 is 736321531.

It is a cyclic number.

It is not a de Polignac number, because 135123637 - 27 = 135123509 is a prime.

It is a super-2 number, since 2×1351236372 = 36516794552215538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 135123599 and 135123608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135123607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11812 + ... + 20242.

It is an arithmetic number, because the mean of its divisors is an integer number (9713664).

Almost surely, 2135123637 is an apocalyptic number.

It is an amenable number.

135123637 is a deficient number, since it is larger than the sum of its proper divisors (20294987).

135123637 is a wasteful number, since it uses less digits than its factorization.

135123637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520.

The product of its digits is 11340, while the sum is 31.

The square root of 135123637 is about 11624.2693103696. The cubic root of 135123637 is about 513.1493408834.

The spelling of 135123637 in words is "one hundred thirty-five million, one hundred twenty-three thousand, six hundred thirty-seven".

Divisors: 1 11 31 47 341 517 1457 8431 16027 92741 261361 396257 2874971 4358827 12283967 135123637