Search a number
-
+
135013040 = 2456725189
BaseRepresentation
bin10000000110000…
…10001010110000
3100102001101001222
420003002022300
5234030404130
621221444212
73226410011
oct1003021260
9312041058
10135013040
116a236328
1239270668
1321c82496
1413d07008
15bcbdce5
hex80c22b0

135013040 has 40 divisors (see below), whose sum is σ = 318603120. Its totient is φ = 53197056.

The previous prime is 135013033. The next prime is 135013057. The reversal of 135013040 is 40310531.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7235 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (7965078).

Almost surely, 2135013040 is an apocalyptic number.

135013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135013040 is an abundant number, since it is smaller than the sum of its proper divisors (183590080).

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

135013040 is a wasteful number, since it uses less digits than its factorization.

135013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25269 (or 25263 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 135013040 is about 11619.5111773258. The cubic root of 135013040 is about 513.0093005722.

Adding to 135013040 its reverse (40310531), we get a palindrome (175323571).

The spelling of 135013040 in words is "one hundred thirty-five million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 25189 50378 100756 125945 201512 251890 403024 503780 1007560 1687663 2015120 3375326 6750652 8438315 13501304 16876630 27002608 33753260 67506520 135013040