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135117136 = 24711109673
BaseRepresentation
bin10000000110110…
…11100101010000
3100102020122212101
420003123211100
5234042222021
621224010144
73230322340
oct1003334520
9312218771
10135117136
116a2a7560
1239300954
1321cba98b
1413d32d20
15bcdea91
hex80db950

135117136 has 40 divisors (see below), whose sum is σ = 326389824. Its totient is φ = 52642560.

The previous prime is 135117133. The next prime is 135117149. The reversal of 135117136 is 631711531.

135117136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135117131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53605 + ... + 56068.

Almost surely, 2135117136 is an apocalyptic number.

135117136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135117136 is an abundant number, since it is smaller than the sum of its proper divisors (191272688).

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

135117136 is a wasteful number, since it uses less digits than its factorization.

135117136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109699 (or 109693 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 135117136 is about 11623.9896765267. The cubic root of 135117136 is about 513.1411112910.

Adding to 135117136 its reverse (631711531), we get a palindrome (766828667).

The spelling of 135117136 in words is "one hundred thirty-five million, one hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 109673 219346 438692 767711 877384 1206403 1535422 1754768 2412806 3070844 4825612 6141688 8444821 9651224 12283376 16889642 19302448 33779284 67558568 135117136