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135142540 = 22513239983
BaseRepresentation
bin10000000111000…
…01110010001100
3100102021221201021
420003201302030
5234044030130
621224323524
73230456401
oct1003416214
9312257637
10135142540
116a314655
12393135a4
1321cc9400
1413d3c2a8
15bce737a
hex80e1c8c

135142540 has 36 divisors (see below), whose sum is σ = 307317024. Its totient is φ = 49897536.

The previous prime is 135142529. The next prime is 135142561. The reversal of 135142540 is 45241531.

It is a happy number.

135142540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1351425402 = 36527012235303200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16612 + ... + 23371.

It is an arithmetic number, because the mean of its divisors is an integer number (8536584).

Almost surely, 2135142540 is an apocalyptic number.

135142540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135142540 is an abundant number, since it is smaller than the sum of its proper divisors (172174484).

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

135142540 is a wasteful number, since it uses less digits than its factorization.

135142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40018 (or 40003 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 135142540 is about 11625.0823652996. The cubic root of 135142540 is about 513.1732686232.

The spelling of 135142540 in words is "one hundred thirty-five million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 39983 79966 159932 199915 399830 519779 799660 1039558 2079116 2598895 5197790 6757127 10395580 13514254 27028508 33785635 67571270 135142540