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135071496 = 23337157569
BaseRepresentation
bin10000000110100…
…00011100001000
3100102011100021000
420003100130020
5234034241441
621223015000
73230042310
oct1003203410
9312140230
10135071496
116a27623a
123929a460
1321ca2c81
1413d20440
15bcd12b6
hex80d0708

135071496 has 128 divisors (see below), whose sum is σ = 432288000. Its totient is φ = 38278656.

The previous prime is 135071491. The next prime is 135071509. The reversal of 135071496 is 694170531.

135071496 is a `hidden beast` number, since 1 + 3 + 507 + 149 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135071496.

It is not an unprimeable number, because it can be changed into a prime (135071491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237100 + ... + 237668.

It is an arithmetic number, because the mean of its divisors is an integer number (3377250).

Almost surely, 2135071496 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 135071496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216144000).

135071496 is an abundant number, since it is smaller than the sum of its proper divisors (297216504).

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

135071496 is a wasteful number, since it uses less digits than its factorization.

135071496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135071496 is about 11622.0263293455. The cubic root of 135071496 is about 513.0833283469.

The spelling of 135071496 in words is "one hundred thirty-five million, seventy-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 157 168 189 216 252 314 378 471 504 569 628 756 942 1099 1138 1256 1413 1512 1707 1884 2198 2276 2826 3297 3414 3768 3983 4239 4396 4552 5121 5652 6594 6828 7966 8478 8792 9891 10242 11304 11949 13188 13656 15363 15932 16956 19782 20484 23898 26376 29673 30726 31864 33912 35847 39564 40968 47796 59346 61452 71694 79128 89333 95592 107541 118692 122904 143388 178666 215082 237384 267999 286776 357332 430164 535998 625331 714664 803997 860328 1071996 1250662 1607994 1875993 2143992 2411991 2501324 3215988 3751986 4823982 5002648 5627979 6431976 7503972 9647964 11255958 15007944 16883937 19295928 22511916 33767874 45023832 67535748 135071496