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135472536 = 233211316651
BaseRepresentation
bin10000001001100…
…10010110011000
3100102220201101100
420010302112120
5234140110121
621235351400
73233332443
oct1004622630
9312821340
10135472536
116a51a581
1239452560
13220b3684
1413dc665a
15bd60026
hex8132598

135472536 has 48 divisors (see below), whose sum is σ = 370173960. Its totient is φ = 44755200.

The previous prime is 135472531. The next prime is 135472559. The reversal of 135472536 is 635274531.

135472536 is a `hidden beast` number, since 1 + 3 + 54 + 72 + 536 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135472536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135472531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 16461.

Almost surely, 2135472536 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 135472536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185086980).

135472536 is an abundant number, since it is smaller than the sum of its proper divisors (234701424).

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

135472536 is a wasteful number, since it uses less digits than its factorization.

135472536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16776 (or 16769 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135472536 is about 11639.2669872290. The cubic root of 135472536 is about 513.5906241920.

The spelling of 135472536 in words is "one hundred thirty-five million, four hundred seventy-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 16651 33302 49953 66604 99906 133208 149859 199812 299718 399624 599436 1198872 1881563 3763126 5644689 7526252 11289378 15052504 16934067 22578756 33868134 45157512 67736268 135472536