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135516192 = 2537201661
BaseRepresentation
bin10000001001111…
…01000000100000
3100102222221021020
420010331000200
5234143004232
621240325440
73233603640
oct1004750040
9312887236
10135516192
116a54a359
1239473880
13220ca4c6
1413dd8520
15bd6ce2c
hex813d020

135516192 has 48 divisors (see below), whose sum is σ = 406550592. Its totient is φ = 38718720.

The previous prime is 135516191. The next prime is 135516203. The reversal of 135516192 is 291615531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (135516191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100159 + ... + 101502.

It is an arithmetic number, because the mean of its divisors is an integer number (8469804).

Almost surely, 2135516192 is an apocalyptic number.

135516192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135516192 is an abundant number, since it is smaller than the sum of its proper divisors (271034400).

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

135516192 is a wasteful number, since it uses less digits than its factorization.

135516192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201681 (or 201673 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 135516192 is about 11641.1422119996. The cubic root of 135516192 is about 513.6457864287.

The spelling of 135516192 in words is "one hundred thirty-five million, five hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 201661 403322 604983 806644 1209966 1411627 1613288 2419932 2823254 3226576 4234881 4839864 5646508 6453152 8469762 9679728 11293016 16939524 19359456 22586032 33879048 45172064 67758096 135516192