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135696120 = 23357161543
BaseRepresentation
bin10000001011010…
…00111011111000
3100110100002002020
420011220323320
5234214233440
621244234440
73235253340
oct1005507370
9313302066
10135696120
116a66255a
123953ba20
1322161381
1414043d20
15bda63d0
hex8168ef8

135696120 has 64 divisors (see below), whose sum is σ = 465246720. Its totient is φ = 31016064.

The previous prime is 135696107. The next prime is 135696137. The reversal of 135696120 is 21696531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79932 + ... + 81611.

It is an arithmetic number, because the mean of its divisors is an integer number (7269480).

Almost surely, 2135696120 is an apocalyptic number.

135696120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135696120 is an abundant number, since it is smaller than the sum of its proper divisors (329550600).

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

135696120 is a wasteful number, since it uses less digits than its factorization.

135696120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161564 (or 161560 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 135696120 is about 11648.8677561384. The cubic root of 135696120 is about 513.8730123797.

The spelling of 135696120 in words is "one hundred thirty-five million, six hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 161543 323086 484629 646172 807715 969258 1130801 1292344 1615430 1938516 2261602 2423145 3230860 3392403 3877032 4523204 4846290 5654005 6461720 6784806 9046408 9692580 11308010 13569612 16962015 19385160 22616020 27139224 33924030 45232040 67848060 135696120