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135017505 = 3257716037
BaseRepresentation
bin10000000110000…
…11010000100001
3100102001121012100
420003003100201
5234031030010
621221521013
73226426020
oct1003032041
9312047170
10135017505
116a239717
1239273169
1321c8451c
1413d088b7
15bcc02c0
hex80c3421

135017505 has 48 divisors (see below), whose sum is σ = 271275264. Its totient is φ = 60842880.

The previous prime is 135017497. The next prime is 135017513. The reversal of 135017505 is 505710531.

It is an interprime number because it is at equal distance from previous prime (135017497) and next prime (135017513).

It is not a de Polignac number, because 135017505 - 23 = 135017497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19347 + ... + 25383.

It is an arithmetic number, because the mean of its divisors is an integer number (5651568).

Almost surely, 2135017505 is an apocalyptic number.

135017505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135017505 is an abundant number, since it is smaller than the sum of its proper divisors (136257759).

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

135017505 is a wasteful number, since it uses less digits than its factorization.

135017505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 135017505 is about 11619.7033094653. The cubic root of 135017505 is about 513.0149557328.

The spelling of 135017505 in words is "one hundred thirty-five million, seventeen thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 6037 7455 18111 22365 30185 42259 54333 90555 126777 211295 271665 380331 428627 633885 1285881 1901655 2143135 3000389 3857643 6429405 9001167 15001945 19288215 27003501 45005835 135017505