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135845840 = 24513130621
BaseRepresentation
bin10000001100011…
…01011111010000
3100110121200110102
420012031133100
5234234031330
621251351532
73236446004
oct1006153720
9313550412
10135845840
116a754a99
12395b25a8
13221b4570
1414082704
15bdd5945
hex818d7d0

135845840 has 40 divisors (see below), whose sum is σ = 340139688. Its totient is φ = 50158080.

The previous prime is 135845819. The next prime is 135845849. The reversal of 135845840 is 48548531.

It can be written as a sum of positive squares in 4 ways, for example, as 7974976 + 127870864 = 2824^2 + 11308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 135845794 and 135845803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135845849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64271 + ... + 66350.

Almost surely, 2135845840 is an apocalyptic number.

135845840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135845840 is an abundant number, since it is smaller than the sum of its proper divisors (204293848).

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

135845840 is a wasteful number, since it uses less digits than its factorization.

135845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130647 (or 130641 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 135845840 is about 11655.2923601255. The cubic root of 135845840 is about 514.0619364468.

The spelling of 135845840 in words is "one hundred thirty-five million, eight hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 130621 261242 522484 653105 1044968 1306210 1698073 2089936 2612420 3396146 5224840 6792292 8490365 10449680 13584584 16980730 27169168 33961460 67922920 135845840