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137014378101108 = 223252325939280549
BaseRepresentation
bin11111001001110100100101…
…010101011111100101110100
3122222010110001120220110221100
4133021310211111133211310
5120424320421243213413
61203223311504050100
740600651005624054
oct3711644525374564
9588113046813840
10137014378101108
113a725520531762
121344a37a003930
135b5b528934441
1425b9761bb1564
1510c90d21b5a73
hex7c9d2555f974

137014378101108 has 72 divisors (see below), whose sum is σ = 347018736428000. Its totient is φ = 45582213606336.

The previous prime is 137014378101043. The next prime is 137014378101163. The reversal of 137014378101108 is 801101873410731.

137014378101108 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 1 + 437 + 8 + 101 + 108 = 666.

137014378101108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488239218 + ... + 488519766.

Almost surely, 2137014378101108 is an apocalyptic number.

137014378101108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137014378101108 is an abundant number, since it is smaller than the sum of its proper divisors (210004358326892).

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

137014378101108 is a wasteful number, since it uses less digits than its factorization.

137014378101108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307021 (or 307016 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 137014378101108 in words is "one hundred thirty-seven trillion, fourteen billion, three hundred seventy-eight million, one hundred one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3138 4707 6276 9414 18828 25939 51878 77817 103756 155634 233451 280549 311268 466902 561098 841647 933804 1122196 1683294 2524941 3366588 5049882 10099764 13566097 27132194 40698291 54264388 81396582 122094873 146727127 162793164 244189746 293454254 440181381 488379492 586908508 880362762 1320544143 1760725524 2641088286 5282176572 7277160511 14554321022 21831481533 29108642044 43662963066 65494444599 87325926132 130988889198 261977778396 3805954947253 7611909894506 11417864841759 15223819789012 22835729683518 34253594525277 45671459367036 68507189050554 137014378101108