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135013095 = 3357142871
BaseRepresentation
bin10000000110000…
…10001011100111
3100102001101011000
420003002023213
5234030404340
621221444343
73226410120
oct1003021347
9312041130
10135013095
116a236378
12392706b3
1321c82509
1413d07047
15bcbdd30
hex80c22e7

135013095 has 32 divisors (see below), whose sum is σ = 274314240. Its totient is φ = 61719840.

The previous prime is 135013057. The next prime is 135013097. The reversal of 135013095 is 590310531.

135013095 is a `hidden beast` number, since 1 + 350 + 1 + 309 + 5 = 666.

It is not a de Polignac number, because 135013095 - 211 = 135011047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135013097) 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 31 ways as a sum of consecutive naturals, for example, 70491 + ... + 72380.

It is an arithmetic number, because the mean of its divisors is an integer number (8572320).

Almost surely, 2135013095 is an apocalyptic number.

135013095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135013095 is an abundant number, since it is smaller than the sum of its proper divisors (139301145).

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

135013095 is a wasteful number, since it uses less digits than its factorization.

135013095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142892 (or 142886 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 135013095 is about 11619.5135440344. The cubic root of 135013095 is about 513.0093702334.

The spelling of 135013095 in words is "one hundred thirty-five million, thirteen thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 142871 428613 714355 1000097 1285839 2143065 3000291 3857517 5000485 6429195 9000873 15001455 19287585 27002619 45004365 135013095