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135084840 = 233511102337
BaseRepresentation
bin10000000110100…
…11101100101000
3100102012000120020
420003103230220
5234040203330
621223200440
73230126232
oct1003235450
9312160506
10135084840
116a285270
12392a6120
1321ca9077
1413d25252
15bcd5210
hex80d3b28

135084840 has 64 divisors (see below), whose sum is σ = 442100160. Its totient is φ = 32747520.

The previous prime is 135084827. The next prime is 135084857. The reversal of 135084840 is 48480531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49849 + ... + 52488.

It is an arithmetic number, because the mean of its divisors is an integer number (6907815).

Almost surely, 2135084840 is an apocalyptic number.

135084840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135084840 is an abundant number, since it is smaller than the sum of its proper divisors (307015320).

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

135084840 is a wasteful number, since it uses less digits than its factorization.

135084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102362 (or 102358 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 135084840 is about 11622.6003975014. The cubic root of 135084840 is about 513.1002239878.

The spelling of 135084840 in words is "one hundred thirty-five million, eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 102337 204674 307011 409348 511685 614022 818696 1023370 1125707 1228044 1535055 2046740 2251414 2456088 3070110 3377121 4093480 4502828 5628535 6140220 6754242 9005656 11257070 12280440 13508484 16885605 22514140 27016968 33771210 45028280 67542420 135084840