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135785353 = 1122397503
BaseRepresentation
bin10000001011111…
…10101110001001
3100110111121111011
420011332232021
5234230112403
621250203521
73236104444
oct1005765611
9313447434
10135785353
116a713600
12395835a1
1322192b82
141406865b
15bdc2a6d
hex817eb89

135785353 has 24 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 116624640.

The previous prime is 135785327. The next prime is 135785371. The reversal of 135785353 is 353587531.

135785353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-135785353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135785323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269700 + ... + 270202.

It is an arithmetic number, because the mean of its divisors is an integer number (6569136).

Almost surely, 2135785353 is an apocalyptic number.

It is an amenable number.

135785353 is a deficient number, since it is larger than the sum of its proper divisors (21873911).

135785353 is a wasteful number, since it uses less digits than its factorization.

135785353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its digits is 189000, while the sum is 40.

The square root of 135785353 is about 11652.6972414115. The cubic root of 135785353 is about 513.9856276924.

The spelling of 135785353 in words is "one hundred thirty-five million, seven hundred eighty-five thousand, three hundred fifty-three".

Divisors: 1 11 23 97 121 253 503 1067 2231 2783 5533 11569 11737 24541 48791 60863 127259 269951 536701 1122193 1399849 5903711 12344123 135785353