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135597359340 = 22335501150111
BaseRepresentation
bin111111001001000111…
…0111000000011101100
3110222000000100120011000
41332102032320003230
54210200410444330
6142143110000300
712540141352152
oct1762216700354
9428000316130
10135597359340
11525631a1043
1222343346090
13ca2c716091
1467c4a273d2
1537d9465560
hex1f923b80ec

135597359340 has 96 divisors (see below), whose sum is σ = 421951057920. Its totient is φ = 36151358400.

The previous prime is 135597359333. The next prime is 135597359341. The reversal of 135597359340 is 43953795531.

135597359340 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 9 + 7 + 3 + 593 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135597359341) 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 31 ways as a sum of consecutive naturals, for example, 2680885 + ... + 2730995.

It is an arithmetic number, because the mean of its divisors is an integer number (4395323520).

Almost surely, 2135597359340 is an apocalyptic number.

135597359340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135597359340 is an abundant number, since it is smaller than the sum of its proper divisors (286353698580).

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

135597359340 is a wasteful number, since it uses less digits than its factorization.

135597359340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55140 (or 55132 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 135597359340 in words is "one hundred thirty-five billion, five hundred ninety-seven million, three hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5011 10022 15033 20044 25055 30066 45099 50110 50111 60132 75165 90198 100220 100222 135297 150330 150333 180396 200444 225495 250555 270594 300660 300666 450990 450999 501110 541188 601332 676485 751665 901980 901998 1002220 1352970 1352997 1503330 1803996 2254995 2705940 2705994 3006660 4509990 5411988 6764985 9019980 13529970 27059940 251106221 502212442 753318663 1004424884 1255531105 1506637326 2259955989 2511062210 3013274652 3766593315 4519911978 5022124420 6779867967 7533186630 9039823956 11299779945 13559735934 15066373260 22599559890 27119471868 33899339835 45199119780 67798679670 135597359340