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131152100104134 = 23335832588926183
BaseRepresentation
bin11101110100100000111010…
…010101101001011111000110
3122012101000111100121120102000
4131310200322111221133012
5114142244000111313014
61142534235405330130
736424266206051364
oct3564407225513706
9565330440546360
10131152100104134
113887532542061a
12128621a4b66946
135824789226535
142455b1cc6c634
151026878e77509
hex77483a5697c6

131152100104134 has 64 divisors (see below), whose sum is σ = 291552849100800. Its totient is φ = 43701808041216.

The previous prime is 131152100104127. The next prime is 131152100104159. The reversal of 131152100104134 is 431401001251131.

131152100104134 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 521 + 0 + 0 + 1 + 0 + 4 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131152100104098 and 131152100104107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5009042407 + ... + 5009068589.

It is an arithmetic number, because the mean of its divisors is an integer number (4555513267200).

Almost surely, 2131152100104134 is an apocalyptic number.

131152100104134 is an abundant number, since it is smaller than the sum of its proper divisors (160400748996666).

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

131152100104134 is a wasteful number, since it uses less digits than its factorization.

131152100104134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55666 (or 55660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 131152100104134 its reverse (431401001251131), we get a palindrome (562553101355265).

The spelling of 131152100104134 in words is "one hundred thirty-one trillion, one hundred fifty-two billion, one hundred million, one hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 3583 7166 10749 21498 25889 26183 32247 51778 52366 64494 77667 78549 96741 155334 157098 193482 233001 235647 466002 471294 699003 706941 1398006 1413882 92760287 93813689 185520574 187627378 278280861 281441067 556561722 562882134 677851687 834842583 844323201 1355703374 1669685166 1688646402 2033555061 2504527749 2532969603 4067110122 5009055498 5065939206 6100665183 12201330366 18301995549 36603991098 2428742594521 4857485189042 7286227783563 14572455567126 21858683350689 43717366701378 65576050052067 131152100104134