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135127140 = 22353172649
BaseRepresentation
bin10000000110111…
…10000001100100
3100102021011120220
420003132001210
5234043032030
621224124340
73230363451
oct1003360144
9312234526
10135127140
116a304025
12393066b0
1321cc23b5
1413d36828
15bce2a10
hex80de064

135127140 has 48 divisors (see below), whose sum is σ = 390566400. Its totient is φ = 34871040.

The previous prime is 135127133. The next prime is 135127151. The reversal of 135127140 is 41721531.

It is a self number, because there is not a number n which added to its sum of digits gives 135127140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34465 + ... + 38184.

It is an arithmetic number, because the mean of its divisors is an integer number (8136800).

Almost surely, 2135127140 is an apocalyptic number.

135127140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135127140 is an abundant number, since it is smaller than the sum of its proper divisors (255439260).

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

135127140 is a wasteful number, since it uses less digits than its factorization.

135127140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72692 (or 72690 counting only the distinct ones).

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

The square root of 135127140 is about 11624.4199855305. The cubic root of 135127140 is about 513.1537752090.

Adding to 135127140 its reverse (41721531), we get a palindrome (176848671).

The spelling of 135127140 in words is "one hundred thirty-five million, one hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 72649 145298 217947 290596 363245 435894 726490 871788 1089735 1452980 2179470 2252119 4358940 4504238 6756357 9008476 11260595 13512714 22521190 27025428 33781785 45042380 67563570 135127140