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135546900 = 22352451823
BaseRepresentation
bin10000001010001…
…00100000010100
3100110001111101120
420011010200110
5234200000100
621241123540
73234062316
oct1005044024
9313044346
10135546900
116a570435
12394895b0
132210b488
14140057b6
15bd770a0
hex8144814

135546900 has 36 divisors (see below), whose sum is σ = 392183232. Its totient is φ = 36145760.

The previous prime is 135546877. The next prime is 135546907. The reversal of 135546900 is 9645531.

It is a happy number.

It is a super-2 number, since 2×1355469002 = 36745924199220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135546907) 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 11 ways as a sum of consecutive naturals, for example, 225612 + ... + 226211.

Almost surely, 2135546900 is an apocalyptic number.

135546900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135546900 is an abundant number, since it is smaller than the sum of its proper divisors (256636332).

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

135546900 is a wasteful number, since it uses less digits than its factorization.

135546900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451840 (or 451833 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135546900 is about 11642.4610800294. The cubic root of 135546900 is about 513.6845809160.

The spelling of 135546900 in words is "one hundred thirty-five million, five hundred forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 451823 903646 1355469 1807292 2259115 2710938 4518230 5421876 6777345 9036460 11295575 13554690 22591150 27109380 33886725 45182300 67773450 135546900