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135702945 = 3457151317
BaseRepresentation
bin10000001011010…
…10100110100001
3100110100102110000
420011222212201
5234214443240
621244330213
73235312260
oct1005524641
9313312400
10135702945
116a6676a4
1239543969
1322164501
14140465d7
15bda8430
hex816a9a1

135702945 has 80 divisors (see below), whose sum is σ = 280735488. Its totient is φ = 61430400.

The previous prime is 135702923. The next prime is 135702947. The reversal of 135702945 is 549207531.

It is not a de Polignac number, because 135702945 - 25 = 135702913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135702947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427927 + ... + 428243.

Almost surely, 2135702945 is an apocalyptic number.

135702945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135702945 is an abundant number, since it is smaller than the sum of its proper divisors (145032543).

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

135702945 is a wasteful number, since it uses less digits than its factorization.

135702945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135702945 is about 11649.1606993809. The cubic root of 135702945 is about 513.8816275229.

The spelling of 135702945 in words is "one hundred thirty-five million, seven hundred two thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 151 189 315 317 405 453 567 755 945 951 1057 1359 1585 2219 2265 2835 2853 3171 4077 4755 5285 6657 6795 8559 9513 11095 12231 14265 15855 19971 20385 25677 28539 33285 42795 47565 47867 59913 61155 85617 99855 128385 142695 143601 179739 239335 299565 335069 428085 430803 718005 898695 1005207 1292409 1675345 2154015 3015621 3877227 5026035 6462045 9046863 15078105 19386135 27140589 45234315 135702945