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135107632 = 24112193673
BaseRepresentation
bin10000000110110…
…01010000110000
3100102020011211101
420003121100300
5234041421012
621223454144
73230252542
oct1003312060
9312204741
10135107632
116a2a0400
12392b7354
1321cb655a
1413d2d692
15bcdbd57
hex80d9430

135107632 has 60 divisors (see below), whose sum is σ = 302958040. Its totient is φ = 58164480.

The previous prime is 135107629. The next prime is 135107633. The reversal of 135107632 is 236701531.

It is a self number, because there is not a number n which added to its sum of digits gives 135107632.

It is not an unprimeable number, because it can be changed into a prime (135107633) 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, 34948 + ... + 38620.

Almost surely, 2135107632 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 135107632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151479020).

135107632 is an abundant number, since it is smaller than the sum of its proper divisors (167850408).

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

135107632 is a wasteful number, since it uses less digits than its factorization.

135107632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 135107632 is about 11623.5808596146. The cubic root of 135107632 is about 513.1290797367.

The spelling of 135107632 in words is "one hundred thirty-five million, one hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1672 1936 2299 3344 3673 4598 7346 9196 14692 18392 29384 36784 40403 58768 69787 80806 139574 161612 279148 323224 444433 558296 646448 767657 888866 1116592 1535314 1777732 3070628 3555464 6141256 7110928 8444227 12282512 16888454 33776908 67553816 135107632