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135453136 = 24713313001
BaseRepresentation
bin10000001001011…
…01100111010000
3100102212201202211
420010231213100
5234134000021
621235121504
73233222050
oct1004554720
9312781684
10135453136
116a506a45
1239443294
13220a78b0
1413dbd560
15bd593e1
hex812d9d0

135453136 has 80 divisors (see below), whose sum is σ = 333534208. Its totient is φ = 51840000.

The previous prime is 135453121. The next prime is 135453151. The reversal of 135453136 is 631354531.

It is an interprime number because it is at equal distance from previous prime (135453121) and next prime (135453151).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 135453098 and 135453107.

It is a congruent number.

It is an unprimeable number.

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, 43636 + ... + 46636.

Almost surely, 2135453136 is an apocalyptic number.

135453136 is a gapful number since it is divisible by the number (16) 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 135453136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166767104).

135453136 is an abundant number, since it is smaller than the sum of its proper divisors (198081072).

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

135453136 is a wasteful number, since it uses less digits than its factorization.

135453136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3054 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The square root of 135453136 is about 11638.4335715765. The cubic root of 135453136 is about 513.5661072085.

The spelling of 135453136 in words is "one hundred thirty-five million, four hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3001 3224 3472 5642 6002 6448 11284 12004 21007 22568 24008 39013 42014 45136 48016 78026 84028 93031 156052 168056 186062 273091 312104 336112 372124 546182 624208 651217 744248 1092364 1209403 1302434 1488496 2184728 2418806 2604868 4369456 4837612 5209736 8465821 9675224 10419472 16931642 19350448 33863284 67726568 135453136