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135143808 = 2731918523
BaseRepresentation
bin10000000111000…
…10000110000000
3100102022000110020
420003202012000
5234044100213
621224333440
73230463162
oct1003420600
9312260406
10135143808
116a3155a8
1239314280
1321cc9b67
1413d3c932
15bce7923
hex80e2180

135143808 has 64 divisors (see below), whose sum is σ = 377889600. Its totient is φ = 42674688.

The previous prime is 135143803. The next prime is 135143809. The reversal of 135143808 is 808341531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135143803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 16557.

It is an arithmetic number, because the mean of its divisors is an integer number (5904525).

Almost surely, 2135143808 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 135143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188944800).

135143808 is an abundant number, since it is smaller than the sum of its proper divisors (242745792).

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

135143808 is a wasteful number, since it uses less digits than its factorization.

135143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18559 (or 18547 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 135143808 is about 11625.1369024197. The cubic root of 135143808 is about 513.1748735994.

The spelling of 135143808 in words is "one hundred thirty-five million, one hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 18523 37046 55569 74092 111138 148184 222276 296368 351937 444552 592736 703874 889104 1055811 1185472 1407748 1778208 2111622 2370944 2815496 3556416 4223244 5630992 7112832 8446488 11261984 16892976 22523968 33785952 45047936 67571904 135143808