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135043376 = 241317181211
BaseRepresentation
bin10000000110010…
…01100100110000
3100102002220200112
420003021210300
5234032342001
621222240452
73226564316
oct1003114460
9312086615
10135043376
116a2570a6
1239286128
1321c93230
1413d140b6
15bcc7cbb
hex80c9930

135043376 has 80 divisors (see below), whose sum is σ = 301418208. Its totient is φ = 58060800.

The previous prime is 135043339. The next prime is 135043379. The reversal of 135043376 is 673340531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639911 + ... + 640121.

Almost surely, 2135043376 is an apocalyptic number.

135043376 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 135043376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709104).

135043376 is an abundant number, since it is smaller than the sum of its proper divisors (166374832).

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

135043376 is a wasteful number, since it uses less digits than its factorization.

135043376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 135043376 is about 11620.8164945498. The cubic root of 135043376 is about 513.0477202802.

It can be divided in two parts, 13504 and 3376, that multiplied together give a square (45589504 = 67522).

The spelling of 135043376 in words is "one hundred thirty-five million, forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 181 208 211 221 272 362 422 442 724 844 884 1448 1688 1768 2353 2743 2896 3077 3376 3536 3587 4706 5486 6154 7174 9412 10972 12308 14348 18824 21944 24616 28696 37648 38191 40001 43888 46631 49232 57392 76382 80002 93262 152764 160004 186524 305528 320008 373048 496483 611056 640016 649247 746096 992966 1298494 1985932 2596988 3971864 5193976 7943728 8440211 10387952 16880422 33760844 67521688 135043376