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135146916 = 223231112071
BaseRepresentation
bin10000000111000…
…10110110100100
3100102022011201100
420003202312210
5234044200131
621224400100
73230505222
oct1003426644
9312264640
10135146916
116a317973
1239316030
1321ccb3b8
1413d3db12
15bce87e6
hex80e2da4

135146916 has 36 divisors (see below), whose sum is σ = 342748224. Its totient is φ = 44900400.

The previous prime is 135146909. The next prime is 135146917. The reversal of 135146916 is 619641531.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1351469162 = 36529377808622112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135146917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5161 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (9520784).

Almost surely, 2135146916 is an apocalyptic number.

It is an amenable number.

135146916 is an abundant number, since it is smaller than the sum of its proper divisors (207601308).

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

135146916 is a wasteful number, since it uses less digits than its factorization.

135146916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 12387 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 135146916 is about 11625.2705774963. The cubic root of 135146916 is about 513.1788075206.

The spelling of 135146916 in words is "one hundred thirty-five million, one hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 11196 12071 24142 36213 48284 72426 108639 144852 217278 434556 3754081 7508162 11262243 15016324 22524486 33786729 45048972 67573458 135146916