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135018975 = 35271373271
BaseRepresentation
bin10000000110000…
…11100111011111
3100102001200012210
420003003213133
5234031101400
621221531503
73226433220
oct1003034737
9312050183
10135018975
116a23a833
1239273b93
1321c850b0
1413d09247
15bcc0950
hex80c39df

135018975 has 96 divisors (see below), whose sum is σ = 279537664. Its totient is φ = 55987200.

The previous prime is 135018971. The next prime is 135018977. The reversal of 135018975 is 579810531.

135018975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135018975 - 22 = 135018971 is a prime.

It is a super-2 number, since 2×1350189752 = 36460247220101250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135018971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498090 + ... + 498360.

Almost surely, 2135018975 is an apocalyptic number.

135018975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135018975 is an abundant number, since it is smaller than the sum of its proper divisors (144518689).

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

135018975 is a wasteful number, since it uses less digits than its factorization.

135018975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The square root of 135018975 is about 11619.7665639203. The cubic root of 135018975 is about 513.0168175389.

The spelling of 135018975 in words is "one hundred thirty-five million, eighteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 73 75 91 105 175 195 219 271 273 325 365 455 511 525 813 949 975 1095 1355 1365 1533 1825 1897 2275 2555 2847 3523 4065 4745 5475 5691 6643 6775 6825 7665 9485 10569 12775 14235 17615 19783 19929 20325 23725 24661 28455 33215 38325 47425 52845 59349 71175 73983 88075 98915 99645 123305 138481 142275 166075 257179 264225 296745 369915 415443 494575 498225 616525 692405 771537 1285895 1483725 1800253 1849575 2077215 3462025 3857685 5400759 6429475 9001265 10386075 19288425 27003795 45006325 135018975