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135142710 = 23523732683
BaseRepresentation
bin10000000111000…
…01110100110110
3100102021221221120
420003201310312
5234044031320
621224324410
73230460033
oct1003416466
9312257846
10135142710
116a31479a
1239313706
1321cc9501
1413d3c38a
15bce7440
hex80e1d36

135142710 has 64 divisors (see below), whose sum is σ = 343208448. Its totient is φ = 33986304.

The previous prime is 135142703. The next prime is 135142769. The reversal of 135142710 is 17241531.

It is a super-2 number, since 2×1351427102 = 36527104132288200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49029 + ... + 51711.

It is an arithmetic number, because the mean of its divisors is an integer number (5362632).

Almost surely, 2135142710 is an apocalyptic number.

135142710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135142710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171604224).

135142710 is an abundant number, since it is smaller than the sum of its proper divisors (208065738).

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

135142710 is a wasteful number, since it uses less digits than its factorization.

135142710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135142710 is about 11625.0896770735. The cubic root of 135142710 is about 513.1734838020.

It can be divided in two parts, 135 and 142710, that added together give a triangular number (142845 = T534).

The spelling of 135142710 in words is "one hundred thirty-five million, one hundred forty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 146 219 230 345 365 438 690 730 1095 1679 2190 2683 3358 5037 5366 8049 8395 10074 13415 16098 16790 25185 26830 40245 50370 61709 80490 123418 185127 195859 308545 370254 391718 587577 617090 925635 979295 1175154 1851270 1958590 2937885 4504757 5875770 9009514 13514271 22523785 27028542 45047570 67571355 135142710