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134935392 = 2531789929
BaseRepresentation
bin10000000101011…
…11001101100000
3100101220102120010
420002233031200
5234020413032
621220044520
73225634434
oct1002571540
9311812503
10134935392
116a192a59
1239233740
1321c56037
1413cc69c4
15bca5ccc
hex80af360

134935392 has 96 divisors (see below), whose sum is σ = 379663200. Its totient is φ = 41811968.

The previous prime is 134935379. The next prime is 134935393. The reversal of 134935392 is 293539431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 134935392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134935393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144784 + ... + 145712.

It is an arithmetic number, because the mean of its divisors is an integer number (3954825).

Almost surely, 2134935392 is an apocalyptic number.

134935392 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 134935392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189831600).

134935392 is an abundant number, since it is smaller than the sum of its proper divisors (244727808).

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

134935392 is a wasteful number, since it uses less digits than its factorization.

134935392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 134935392 is about 11616.1694202521. The cubic root of 134935392 is about 512.9109352958.

The spelling of 134935392 in words is "one hundred thirty-four million, nine hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 929 1068 1424 1513 1632 1858 2136 2787 2848 3026 3716 4272 4539 5574 6052 7432 8544 9078 11148 12104 14864 15793 18156 22296 24208 29728 31586 36312 44592 47379 48416 63172 72624 82681 89184 94758 126344 145248 165362 189516 248043 252688 330724 379032 496086 505376 661448 758064 992172 1322896 1405577 1516128 1984344 2645792 2811154 3968688 4216731 5622308 7937376 8433462 11244616 16866924 22489232 33733848 44978464 67467696 134935392