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134013852 = 22347371597
BaseRepresentation
bin1111111110011…
…10001110011100
3100100011121110000
413333032032130
5233301420402
621144214300
73215045640
oct777161634
9310147400
10134013852
1169713655
1238a6a390
13219c274b
1413b26c20
15bb72c1c
hex7fce39c

134013852 has 120 divisors (see below), whose sum is σ = 411465824. Its totient is φ = 37231488.

The previous prime is 134013833. The next prime is 134013853. The reversal of 134013852 is 258310431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134013853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83118 + ... + 84714.

Almost surely, 2134013852 is an apocalyptic number.

134013852 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 134013852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205732912).

134013852 is an abundant number, since it is smaller than the sum of its proper divisors (277451972).

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

134013852 is a wasteful number, since it uses less digits than its factorization.

134013852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134013852 is about 11576.4352026002. The cubic root of 134013852 is about 511.7406268869.

The spelling of 134013852 in words is "one hundred thirty-four million, thirteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1597 1998 2268 2331 2997 3108 3194 3996 4662 4791 5994 6388 6993 9324 9582 11179 11988 13986 14373 19164 20979 22358 27972 28746 33537 41958 43119 44716 57492 59089 67074 83916 86238 100611 118178 129357 134148 172476 177267 201222 236356 258714 301833 354534 402444 413623 517428 531801 603666 709068 827246 905499 1063602 1207332 1240869 1595403 1654492 1810998 2127204 2481738 3190806 3621996 3722607 4786209 4963476 6381612 7445214 9572418 11167821 14890428 19144836 22335642 33503463 44671284 67006926 134013852