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135360060 = 2235112337241
BaseRepresentation
bin10000001000101…
…10111000111100
3100102201000002120
420010112320330
5234123010220
621233122540
73232353513
oct1004267074
9312630076
10135360060
116a453020
12393b9450
1322074414
1413d9767a
15bd3ba40
hex8116e3c

135360060 has 192 divisors, whose sum is σ = 444939264. Its totient is φ = 30412800.

The previous prime is 135360041. The next prime is 135360061. The reversal of 135360060 is 60063531.

It is a self number, because there is not a number n which added to its sum of digits gives 135360060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135360061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561540 + ... + 561780.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2135360060 is an apocalyptic number.

135360060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135360060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

135360060 is an abundant number, since it is smaller than the sum of its proper divisors (309579204).

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

135360060 is a wasteful number, since it uses less digits than its factorization.

135360060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 135360060 is about 11634.4342363520. The cubic root of 135360060 is about 513.4484487247.

The spelling of 135360060 in words is "one hundred thirty-five million, three hundred sixty thousand, sixty".