Search a number
-
+
135342525 = 352171011051
BaseRepresentation
bin10000001000100…
…10100110111101
3100102200010001010
420010102212331
5234121430100
621232505433
73232251423
oct1004224675
9312603033
10135342525
116a44092a
12393ab279
1322069446
1413d91113
15bd36750
hex81129bd

135342525 has 48 divisors (see below), whose sum is σ = 239502528. Its totient is φ = 67200000.

The previous prime is 135342523. The next prime is 135342533. The reversal of 135342525 is 525243531.

It is not a de Polignac number, because 135342525 - 21 = 135342523 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135342492 and 135342501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135342521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128250 + ... + 129300.

It is an arithmetic number, because the mean of its divisors is an integer number (4989636).

Almost surely, 2135342525 is an apocalyptic number.

135342525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135342525 is a deficient number, since it is larger than the sum of its proper divisors (104160003).

135342525 is a wasteful number, since it uses less digits than its factorization.

135342525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1177 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135342525 is about 11633.6806299640. The cubic root of 135342525 is about 513.4262764843.

The spelling of 135342525 in words is "one hundred thirty-five million, three hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 101 255 303 425 505 1051 1275 1515 1717 2525 3153 5151 5255 7575 8585 15765 17867 25755 26275 42925 53601 78825 89335 106151 128775 268005 318453 446675 530755 1340025 1592265 1804567 2653775 5413701 7961325 9022835 27068505 45114175 135342525