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135677988 = 223231312041
BaseRepresentation
bin10000001011001…
…00100000100100
3100110022011012200
420011210200210
5234213143423
621244014500
73235146435
oct1005444044
9313264180
10135677988
116a64a976
1239531430
1322156044
141403b48c
15bda0d43
hex8164824

135677988 has 36 divisors (see below), whose sum is σ = 344088108. Its totient is φ = 45077760.

The previous prime is 135677953. The next prime is 135677999. The reversal of 135677988 is 889776531.

135677988 is a `hidden beast` number, since 1 + 3 + 567 + 79 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 104407524 = 5592^2 + 10218^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5248 + ... + 17288.

It is an arithmetic number, because the mean of its divisors is an integer number (9558003).

Almost surely, 2135677988 is an apocalyptic number.

135677988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135677988 is an abundant number, since it is smaller than the sum of its proper divisors (208410120).

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

135677988 is a wasteful number, since it uses less digits than its factorization.

135677988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12359 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 135677988 is about 11648.0894570741. The cubic root of 135677988 is about 513.8501230971.

The spelling of 135677988 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 12041 24082 36123 48164 72246 108369 144492 216738 433476 3768833 7537666 11306499 15075332 22612998 33919497 45225996 67838994 135677988