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135143520 = 2535281549
BaseRepresentation
bin10000000111000…
…10000001100000
3100102022000001120
420003202001200
5234044043040
621224332240
73230462301
oct1003420140
9312260046
10135143520
116a315366
1239314080
1321cc99a5
1413d3c7a8
15bce77d0
hex80e2060

135143520 has 48 divisors (see below), whose sum is σ = 425703600. Its totient is φ = 36038144.

The previous prime is 135143479. The next prime is 135143521. The reversal of 135143520 is 25341531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135143521) 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, 140295 + ... + 141254.

It is an arithmetic number, because the mean of its divisors is an integer number (8868825).

Almost surely, 2135143520 is an apocalyptic number.

135143520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135143520 is an abundant number, since it is smaller than the sum of its proper divisors (290560080).

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

135143520 is a wasteful number, since it uses less digits than its factorization.

135143520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281567 (or 281559 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135143520 is about 11625.1245154622. The cubic root of 135143520 is about 513.1745090631.

The spelling of 135143520 in words is "one hundred thirty-five million, one hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 281549 563098 844647 1126196 1407745 1689294 2252392 2815490 3378588 4223235 4504784 5630980 6757176 8446470 9009568 11261960 13514352 16892940 22523920 27028704 33785880 45047840 67571760 135143520