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135899182155672 = 233213145191433927
BaseRepresentation
bin11110111001100101111110…
…011110100100011110011000
3122211011211112122222200220200
4132321211332132210132120
5120303033011112440142
61201011120012422200
740424251264530435
oct3671457636443630
9584154478880820
10135899182155672
113a335579495a81
12132aa209177960
135aaa3128454a0
14257b7ac478b8c
1510aa0b25e764c
hex7b997e7a4798

135899182155672 has 48 divisors (see below), whose sum is σ = 396372614623440. Its totient is φ = 41815132970688.

The previous prime is 135899182155623. The next prime is 135899182155683. The reversal of 135899182155672 is 276551281998531.

135899182155672 is a `hidden beast` number, since 1 + 3 + 58 + 9 + 9 + 1 + 8 + 2 + 1 + 5 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 135899182155672.

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, 72595716028 + ... + 72595717899.

It is an arithmetic number, because the mean of its divisors is an integer number (8257762804655).

Almost surely, 2135899182155672 is an apocalyptic number.

135899182155672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135899182155672 is an abundant number, since it is smaller than the sum of its proper divisors (260473432467768).

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

135899182155672 is a wasteful number, since it uses less digits than its factorization.

135899182155672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145191433952 (or 145191433945 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 72.

The spelling of 135899182155672 in words is "one hundred thirty-five trillion, eight hundred ninety-nine billion, one hundred eighty-two million, one hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 145191433927 290382867854 435574301781 580765735708 871148603562 1161531471416 1306722905343 1742297207124 1887488641051 2613445810686 3484594414248 3774977282102 5226891621372 5662465923153 7549954564204 10453783242744 11324931846306 15099909128408 16987397769459 22649863692612 33974795538918 45299727385224 67949591077836 135899182155672