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135074654520 = 233513312793107
BaseRepresentation
bin111110111001100010…
…0111010100100111000
3110220122120210101221020
41331303010322210320
54203113102421040
6142015154342440
712521163422331
oct1756304724470
9426576711836
10135074654520
1152315137193
122221828aa20
13c9783416a0
146775441288
1537a8614cd0
hex1f7313a938

135074654520 has 128 divisors (see below), whose sum is σ = 450472458240. Its totient is φ = 32176581120.

The previous prime is 135074654513. The next prime is 135074654527. The reversal of 135074654520 is 25456470531.

It is an interprime number because it is at equal distance from previous prime (135074654513) and next prime (135074654527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135074654527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348194 + ... + 1444913.

It is an arithmetic number, because the mean of its divisors is an integer number (3519316080).

Almost surely, 2135074654520 is an apocalyptic number.

135074654520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135074654520 is an abundant number, since it is smaller than the sum of its proper divisors (315397803720).

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

135074654520 is a wasteful number, since it uses less digits than its factorization.

135074654520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793165 (or 2793161 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 135074654520 in words is "one hundred thirty-five billion, seventy-four million, six hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 2793107 5586214 8379321 11172428 13965535 16758642 22344856 27931070 33517284 36310391 41896605 55862140 67034568 72620782 83793210 86586317 108931173 111724280 145241564 167586420 173172634 181551955 217862346 259758951 290483128 335172840 346345268 363103910 432931585 435724692 519517902 544655865 692690536 726207820 865863170 871449384 1039035804 1089311730 1125622121 1298794755 1452415640 1731726340 2078071608 2178623460 2251244242 2597589510 3376866363 3463452680 4357246920 4502488484 5195179020 5628110605 6753732726 9004976968 10390358040 11256221210 13507465452 16884331815 22512442420 27014930904 33768663630 45024884840 67537327260 135074654520