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135403540 = 22540916553
BaseRepresentation
bin10000001001000…
…01100000010100
3100102210012201221
420010201200110
5234130403130
621234100124
73232624336
oct1004414024
9312705657
10135403540
116a482758
123941a644
132208b14c
1413da9456
15bd4987a
hex8121814

135403540 has 24 divisors (see below), whose sum is σ = 285059880. Its totient is φ = 54025728.

The previous prime is 135403531. The next prime is 135403547. The reversal of 135403540 is 45304531.

135403540 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 4 ways, for example, as 77369616 + 58033924 = 8796^2 + 7618^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 16456.

It is an arithmetic number, because the mean of its divisors is an integer number (11877495).

Almost surely, 2135403540 is an apocalyptic number.

135403540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135403540 is an abundant number, since it is smaller than the sum of its proper divisors (149656340).

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

135403540 is a wasteful number, since it uses less digits than its factorization.

135403540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16971 (or 16969 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 135403540 is about 11636.3026773971. The cubic root of 135403540 is about 513.5034190229.

Subtracting from 135403540 its reverse (45304531), we obtain a palindrome (90099009).

The spelling of 135403540 in words is "one hundred thirty-five million, four hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 16553 33106 66212 82765 165530 331060 6770177 13540354 27080708 33850885 67701770 135403540