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135770120 = 2354637331
BaseRepresentation
bin10000001011110…
…11000000001000
3100110110211120222
420011323000020
5234224120440
621250005212
73236012153
oct1005730010
9313424528
10135770120
116a703112
1239576808
1322188c65
1414062c9a
15bdbd2b5
hex817b008

135770120 has 32 divisors (see below), whose sum is σ = 306184320. Its totient is φ = 54183360.

The previous prime is 135770087. The next prime is 135770137. The reversal of 135770120 is 21077531.

135770120 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 135770120.

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, 14855 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (9568260).

Almost surely, 2135770120 is an apocalyptic number.

135770120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135770120 is an abundant number, since it is smaller than the sum of its proper divisors (170414200).

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

135770120 is a wasteful number, since it uses less digits than its factorization.

135770120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 135770120 is about 11652.0435975841. The cubic root of 135770120 is about 513.9664065818.

The spelling of 135770120 in words is "one hundred thirty-five million, seven hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 463 926 1852 2315 3704 4630 7331 9260 14662 18520 29324 36655 58648 73310 146620 293240 3394253 6788506 13577012 16971265 27154024 33942530 67885060 135770120