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135132040 = 2353378301
BaseRepresentation
bin10000000110111…
…11001110001000
3100102021102022101
420003133032020
5234043211130
621224203144
73230413651
oct1003371610
9312242271
10135132040
116a30777a
12393094b4
1321cc46b4
1413d38528
15bce41ca
hex80df388

135132040 has 16 divisors (see below), whose sum is σ = 304047180. Its totient is φ = 54052800.

The previous prime is 135132017. The next prime is 135132059. The reversal of 135132040 is 40231531.

It can be written as a sum of positive squares in 2 ways, for example, as 125484804 + 9647236 = 11202^2 + 3106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135131999 and 135132017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1689111 + ... + 1689190.

Almost surely, 2135132040 is an apocalyptic number.

135132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135132040 is an abundant number, since it is smaller than the sum of its proper divisors (168915140).

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

135132040 is a wasteful number, since it uses less digits than its factorization.

135132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378312 (or 3378308 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135132040 is about 11624.6307468237. The cubic root of 135132040 is about 513.1599778196.

Adding to 135132040 its reverse (40231531), we get a palindrome (175363571).

The spelling of 135132040 in words is "one hundred thirty-five million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3378301 6756602 13513204 16891505 27026408 33783010 67566020 135132040