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135102534 = 2374789769
BaseRepresentation
bin10000000110110…
…00000001000110
3100102012220211120
420003120001012
5234041240114
621223414410
73230231640
oct1003300106
9312186746
10135102534
116a297596
12392b4406
1321cb4138
1413d2b890
15bcda5a9
hex80d8046

135102534 has 64 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 37306368.

The previous prime is 135102533. The next prime is 135102551. The reversal of 135102534 is 435201531.

135102534 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135102533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175302 + ... + 176070.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2135102534 is an apocalyptic number.

135102534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135102534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

135102534 is an abundant number, since it is smaller than the sum of its proper divisors (184231866).

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

135102534 is a wasteful number, since it uses less digits than its factorization.

135102534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135102534 is about 11623.3615619579. The cubic root of 135102534 is about 513.1226257096.

The spelling of 135102534 in words is "one hundred thirty-five million, one hundred two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 89 94 141 178 267 282 329 534 623 658 769 987 1246 1538 1869 1974 2307 3738 4183 4614 5383 8366 10766 12549 16149 25098 29281 32298 36143 58562 68441 72286 87843 108429 136882 175686 205323 216858 253001 410646 479087 506002 759003 958174 1437261 1518006 2874522 3216727 6433454 9650181 19300362 22517089 45034178 67551267 135102534