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135035032 = 23112199701
BaseRepresentation
bin10000000110001…
…11100010011000
3100102002111020111
420003013202120
5234032110112
621222134104
73226531066
oct1003074230
9312074214
10135035032
116a250900
1239281334
1321c8c4b2
1413d11036
15bcc55a7
hex80c7898

135035032 has 48 divisors (see below), whose sum is σ = 280098000. Its totient is φ = 60984000.

The previous prime is 135035027. The next prime is 135035051. The reversal of 135035032 is 230530531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 135034994 and 135035012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192282 + ... + 192982.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2135035032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135035032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

135035032 is an abundant number, since it is smaller than the sum of its proper divisors (145062968).

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

135035032 is a wasteful number, since it uses less digits than its factorization.

135035032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 135035032 is about 11620.4574780858. The cubic root of 135035032 is about 513.0371534078.

Adding to 135035032 its reverse (230530531), we get a palindrome (365565563).

The spelling of 135035032 in words is "one hundred thirty-five million, thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 199 242 398 484 701 796 968 1402 1592 2189 2804 4378 5608 7711 8756 15422 17512 24079 30844 48158 61688 84821 96316 139499 169642 192632 278998 339284 557996 678568 1115992 1534489 3068978 6137956 12275912 16879379 33758758 67517516 135035032