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135734998815 = 325131761223747
BaseRepresentation
bin111111001101001101…
…1111011011100011111
3110222100121100101000100
41332122123323130133
54210441124430230
6142204504032143
712543432311343
oct1763233733437
9428317311010
10135734998815
1152623960679
1222381462653
13ca520a7b60
1467d9015623
1537e65a2660
hex1f9a6fb71f

135734998815 has 96 divisors (see below), whose sum is σ = 272675422656. Its totient is φ = 61861294080.

The previous prime is 135734998769. The next prime is 135734998823. The reversal of 135734998815 is 518899437531.

135734998815 is a `hidden beast` number, since 1 + 3 + 57 + 3 + 499 + 88 + 15 = 666.

It is not a de Polignac number, because 135734998815 - 29 = 135734998303 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494772 + ... + 718518.

It is an arithmetic number, because the mean of its divisors is an integer number (2840368986).

Almost surely, 2135734998815 is an apocalyptic number.

135734998815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135734998815 is an abundant number, since it is smaller than the sum of its proper divisors (136940423841).

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

135734998815 is a wasteful number, since it uses less digits than its factorization.

135734998815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223849 (or 223846 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 135734998815 in words is "one hundred thirty-five billion, seven hundred thirty-four million, nine hundred ninety-eight thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 17 39 45 51 61 65 85 117 153 183 195 221 255 305 549 585 663 765 793 915 1037 1105 1989 2379 2745 3111 3315 3965 5185 7137 9333 9945 11895 13481 15555 35685 40443 46665 67405 121329 202215 223747 606645 671241 1118735 2013723 2908711 3356205 3803699 8726133 10068615 11411097 13648567 14543555 19018495 26178399 34233291 40945701 43630665 49448087 57055485 68242835 122837103 130891995 148344261 171166455 177431371 204728505 232025639 247240435 445032783 532294113 614185515 696076917 741721305 887156855 1160128195 1596882339 2088230751 2225163915 2661470565 3016333307 3480384585 7984411695 9048999921 10441153755 15081666535 27146999763 45244999605 135734998815