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135909375 = 355719109
BaseRepresentation
bin10000001100111…
…00111111111111
3100110201220121120
420012130333333
5234243100000
621253002023
73240132150
oct1006347777
9313656546
10135909375
116a7987a8
1239623313
1322207464
141409b927
15bde96a0
hex819cfff

135909375 has 96 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 58320000.

The previous prime is 135909359. The next prime is 135909419. The reversal of 135909375 is 573909531.

It is a happy number.

It is not a de Polignac number, because 135909375 - 24 = 135909359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246821 + ... + 1246929.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2135909375 is an apocalyptic number.

135909375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135909375 is an abundant number, since it is smaller than the sum of its proper divisors (139073025).

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

135909375 is an equidigital number, since it uses as much as digits as its factorization.

135909375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 42.

The square root of 135909375 is about 11658.0176273670. The cubic root of 135909375 is about 514.1420660864.

The spelling of 135909375 in words is "one hundred thirty-five million, nine hundred nine thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 95 105 109 125 133 175 285 327 375 399 475 525 545 625 665 763 875 1425 1635 1875 1995 2071 2289 2375 2625 2725 3125 3325 3815 4375 6213 7125 8175 9375 9975 10355 11445 11875 13125 13625 14497 16625 19075 21875 31065 35625 40875 43491 49875 51775 57225 59375 65625 68125 72485 83125 95375 155325 178125 204375 217455 249375 258875 286125 340625 362425 415625 476875 776625 1021875 1087275 1246875 1294375 1430625 1812125 2384375 3883125 5436375 6471875 7153125 9060625 19415625 27181875 45303125 135909375