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135107575216520 = 23510138501868613
BaseRepresentation
bin11110101110000100101111…
…000001101111100110001000
3122201101011021012212121221112
4132232010233001233212020
5120202100303223412040
61155203321352425452
740313125443546524
oct3656045701574610
9581334235777845
10135107575216520
113a05a889a65105
12131a09056a8288
135a50788690c0a
142551354a96d84
1510946d1093365
hex7ae12f06f988

135107575216520 has 64 divisors (see below), whose sum is σ = 307010193773040. Its totient is φ = 53506499200000.

The previous prime is 135107575216499. The next prime is 135107575216633. The reversal of 135107575216520 is 25612575701531.

It can be written as a sum of positive squares in 8 ways, for example, as 104574634678276 + 30532940538244 = 10226174^2 + 5525662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155109734 + ... + 155978346.

Almost surely, 2135107575216520 is an apocalyptic number.

135107575216520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135107575216520 is an abundant number, since it is smaller than the sum of its proper divisors (171902618556520).

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

135107575216520 is a wasteful number, since it uses less digits than its factorization.

135107575216520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907226 (or 907222 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 50.

The spelling of 135107575216520 in words is "one hundred thirty-five trillion, one hundred seven billion, five hundred seventy-five million, two hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 38501 77002 154004 192505 308008 385010 770020 868613 1540040 1737226 3474452 3888601 4343065 6948904 7777202 8686130 15554404 17372260 19443005 31108808 34744520 38886010 77772020 87729913 155544040 175459826 350919652 438649565 701839304 877299130 1754598260 3509196520 33442469113 66884938226 133769876452 167212345565 267539752904 334424691130 668849382260 1337698764520 3377689380413 6755378760826 13510757521652 16888446902065 27021515043304 33776893804130 67553787608260 135107575216520