Search a number
-
+
135060352 = 277307491
BaseRepresentation
bin10000000110011…
…01101110000000
3100102010202222021
420003031232000
5234033412402
621222451224
73226664650
oct1003155600
9312122867
10135060352
116a268929
1239293b14
1321c9ab8b
1413d1a360
15bcccd37
hex80cdb80

135060352 has 64 divisors (see below), whose sum is σ = 309133440. Its totient is φ = 57576960.

The previous prime is 135060329. The next prime is 135060371. The reversal of 135060352 is 253060531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274827 + ... + 275317.

It is an arithmetic number, because the mean of its divisors is an integer number (4830210).

Almost surely, 2135060352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154566720).

135060352 is an abundant number, since it is smaller than the sum of its proper divisors (174073088).

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

135060352 is an equidigital number, since it uses as much as digits as its factorization.

135060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135060352 is about 11621.5468849891. The cubic root of 135060352 is about 513.0692174056.

The spelling of 135060352 in words is "one hundred thirty-five million, sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 307 448 491 614 896 982 1228 1964 2149 2456 3437 3928 4298 4912 6874 7856 8596 9824 13748 15712 17192 19648 27496 31424 34384 39296 54992 62848 68768 109984 137536 150737 219968 275072 301474 439936 602948 1055159 1205896 2110318 2411792 4220636 4823584 8441272 9647168 16882544 19294336 33765088 67530176 135060352