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135320215536 = 243211233714323
BaseRepresentation
bin111111000000110110…
…1101001111111110000
3110221021200212012022200
41332001231221333300
54204113433344121
6142055405503200
712530234565552
oct1760155517760
9427250765280
10135320215536
1152430808880
1222286571b00
13c9b718b76c
146799cc34d2
1537bee6da26
hex1f81b69ff0

135320215536 has 120 divisors (see below), whose sum is σ = 431099300736. Its totient is φ = 39223240320.

The previous prime is 135320215531. The next prime is 135320215673. The reversal of 135320215536 is 635512023531.

135320215536 is a `hidden beast` number, since 13 + 53 + 20 + 21 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135320215536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135320215531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820730 + ... + 1893593.

Almost surely, 2135320215536 is an apocalyptic number.

135320215536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135320215536 is an abundant number, since it is smaller than the sum of its proper divisors (295779085200).

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

135320215536 is a wasteful number, since it uses less digits than its factorization.

135320215536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714371 (or 3714362 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135320215536 in words is "one hundred thirty-five billion, three hundred twenty million, two hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 3714323 7428646 11142969 14857292 22285938 29714584 33428907 40857553 44571876 59429168 66857814 81715106 85429429 89143752 122572659 133715628 163430212 170858858 178287504 245145318 256288287 267431256 326860424 341717716 367717977 490290636 512576574 534862512 653720848 683435432 735435954 768864861 939723719 980581272 1025153148 1366870864 1470871908 1537729722 1879447438 1961162544 2050306296 2819171157 2941743816 3075459444 3758894876 4100612592 5638342314 5883487632 6150918888 7517789752 8457513471 11276684628 12301837776 15035579504 16915026942 22553369256 33830053884 45106738512 67660107768 135320215536