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135146460 = 22352252441
BaseRepresentation
bin10000000111000…
…10101111011100
3100102022011002110
420003202233130
5234044141320
621224354020
73230504001
oct1003425734
9312264073
10135146460
116a317599
1239315910
1321ccb127
1413d3d8a8
15bce85e0
hex80e2bdc

135146460 has 24 divisors (see below), whose sum is σ = 378410256. Its totient is φ = 36039040.

The previous prime is 135146423. The next prime is 135146477. The reversal of 135146460 is 64641531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126161 + ... + 1126280.

It is an arithmetic number, because the mean of its divisors is an integer number (15767094).

Almost surely, 2135146460 is an apocalyptic number.

135146460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135146460 is an abundant number, since it is smaller than the sum of its proper divisors (243263796).

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

135146460 is a wasteful number, since it uses less digits than its factorization.

135146460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252453 (or 2252451 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135146460 is about 11625.2509650330. The cubic root of 135146460 is about 513.1782303468.

Adding to 135146460 its reverse (64641531), we get a palindrome (199787991).

The spelling of 135146460 in words is "one hundred thirty-five million, one hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2252441 4504882 6757323 9009764 11262205 13514646 22524410 27029292 33786615 45048820 67573230 135146460