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134712432 = 24321953929
BaseRepresentation
bin10000000011110…
…00110001110000
3100101111002201100
420001320301300
5233441244212
621211204400
73224015421
oct1001706160
9311432640
10134712432
116a050498
1239146700
1321ba86ca
1413c69648
15bc5ebdc
hex8078c70

134712432 has 120 divisors (see below), whose sum is σ = 404773200. Its totient is φ = 41693184.

The previous prime is 134712401. The next prime is 134712467. The reversal of 134712432 is 234217431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134712396 and 134712405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144544 + ... + 145472.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2134712432 is an apocalyptic number.

134712432 is a gapful number since it is divisible by the number (12) 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 134712432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202386600).

134712432 is an abundant number, since it is smaller than the sum of its proper divisors (270060768).

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

134712432 is a wasteful number, since it uses less digits than its factorization.

134712432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 134712432 is about 11606.5684851294. The cubic root of 134712432 is about 512.6282773881.

Adding to 134712432 its reverse (234217431), we get a palindrome (368929863).

The spelling of 134712432 in words is "one hundred thirty-four million, seven hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 929 954 1007 1272 1368 1858 1908 2014 2544 2736 2787 3021 3716 3816 4028 5574 6042 7432 7632 8056 8361 9063 11148 12084 14864 16112 16722 17651 18126 22296 24168 33444 35302 36252 44592 48336 49237 52953 66888 70604 72504 98474 105906 133776 141208 145008 147711 158859 196948 211812 282416 295422 317718 393896 423624 443133 590844 635436 787792 847248 886266 935503 1181688 1270872 1772532 1871006 2363376 2541744 2806509 3545064 3742012 5613018 7090128 7484024 8419527 11226036 14968048 16839054 22452072 33678108 44904144 67356216 134712432