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135121332 = 223113251397
BaseRepresentation
bin10000000110111…
…00100110110100
3100102020212121210
420003130212310
5234042340312
621224041420
73230340513
oct1003344664
9312225553
10135121332
116a2aa725
1239303270
1321cbc868
1413d3467a
15bce0e3c
hex80dc9b4

135121332 has 48 divisors (see below), whose sum is σ = 320144832. Its totient is φ = 44352000.

The previous prime is 135121309. The next prime is 135121333. The reversal of 135121332 is 233121531.

135121332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1351213322 = 36515548722908448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135121299 and 135121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135121333) 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, 340158 + ... + 340554.

It is an arithmetic number, because the mean of its divisors is an integer number (6669684).

Almost surely, 2135121332 is an apocalyptic number.

135121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135121332 is an abundant number, since it is smaller than the sum of its proper divisors (185023500).

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

135121332 is a wasteful number, since it uses less digits than its factorization.

135121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 135121332 is about 11624.1701639300. The cubic root of 135121332 is about 513.1464230224.

Adding to 135121332 its reverse (233121531), we get a palindrome (368242863).

The spelling of 135121332 in words is "one hundred thirty-five million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 113 226 251 339 397 452 502 678 753 794 1004 1191 1356 1506 1588 2382 3012 4764 28363 44861 56726 85089 89722 99647 113452 134583 170178 179444 199294 269166 298941 340356 398588 538332 597882 1195764 11260111 22520222 33780333 45040444 67560666 135121332