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135295540 = 2256764777
BaseRepresentation
bin10000001000001…
…11001000110100
3100102120201120221
420010013020310
5234113424130
621231504124
73231664432
oct1004071064
9312521527
10135295540
116a4095a6
1239388044
1322050c43
1413d7bd52
15bd2787a
hex8107234

135295540 has 12 divisors (see below), whose sum is σ = 284120676. Its totient is φ = 54118208.

The previous prime is 135295529. The next prime is 135295543. The reversal of 135295540 is 45592531.

135295540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36650916 + 98644624 = 6054^2 + 9932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135295496 and 135295505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135295543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3382369 + ... + 3382408.

It is an arithmetic number, because the mean of its divisors is an integer number (23676723).

Almost surely, 2135295540 is an apocalyptic number.

135295540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135295540 is an abundant number, since it is smaller than the sum of its proper divisors (148825136).

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

135295540 is a wasteful number, since it uses less digits than its factorization.

135295540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764786 (or 6764784 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 135295540 is about 11631.6611023534. The cubic root of 135295540 is about 513.3668565652.

The spelling of 135295540 in words is "one hundred thirty-five million, two hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6764777 13529554 27059108 33823885 67647770 135295540