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135373832 = 231121071307
BaseRepresentation
bin10000001000110…
…10010000001000
3100102201200222122
420010122100020
5234123430312
621233310412
73232441616
oct1004322010
9312650878
10135373832
116a462400
1239405408
132207a779
1413d9c6b6
15bd40b72
hex811a408

135373832 has 48 divisors (see below), whose sum is σ = 281821680. Its totient is φ = 60911840.

The previous prime is 135373831. The next prime is 135373853. The reversal of 135373832 is 238373531.

It is a junction number, because it is equal to n+sod(n) for n = 135373792 and 135373801.

It is not an unprimeable number, because it can be changed into a prime (135373831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102923 + ... + 104229.

It is an arithmetic number, because the mean of its divisors is an integer number (5871285).

Almost surely, 2135373832 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 135373832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140910840).

135373832 is an abundant number, since it is smaller than the sum of its proper divisors (146447848).

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

135373832 is a wasteful number, since it uses less digits than its factorization.

135373832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 135373832 is about 11635.0260850589. The cubic root of 135373832 is about 513.4658614736.

The spelling of 135373832 in words is "one hundred thirty-five million, three hundred seventy-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 428 484 856 968 1177 1307 2354 2614 4708 5228 9416 10456 12947 14377 25894 28754 51788 57508 103576 115016 139849 158147 279698 316294 559396 632588 1118792 1265176 1538339 3076678 6153356 12306712 16921729 33843458 67686916 135373832