Search a number
-
+
135237340 = 22575231847
BaseRepresentation
bin10000000111110…
…00111011011100
3100102110202202101
420003320323130
5234110043330
621230334444
73231332650
oct1003707334
9312422671
10135237340
116a3798a7
123935a424
13220305c4
1413d64a60
15bd154ca
hex80f8edc

135237340 has 48 divisors (see below), whose sum is σ = 325366272. Its totient is φ = 46253376.

The previous prime is 135237313. The next prime is 135237343. The reversal of 135237340 is 43732531.

135237340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 135237299 and 135237308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135237343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72297 + ... + 74143.

It is an arithmetic number, because the mean of its divisors is an integer number (6778464).

Almost surely, 2135237340 is an apocalyptic number.

135237340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135237340 is an abundant number, since it is smaller than the sum of its proper divisors (190128932).

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

135237340 is a wasteful number, since it uses less digits than its factorization.

135237340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 135237340 is about 11629.1590409625. The cubic root of 135237340 is about 513.2932344383.

Adding to 135237340 its reverse (43732531), we get a palindrome (178969871).

The spelling of 135237340 in words is "one hundred thirty-five million, two hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 523 1046 1847 2092 2615 3661 3694 5230 7322 7388 9235 10460 12929 14644 18305 18470 25858 36610 36940 51716 64645 73220 129290 258580 965981 1931962 3863924 4829905 6761867 9659810 13523734 19319620 27047468 33809335 67618670 135237340