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145120064104134 = 23371732122164743
BaseRepresentation
bin100000111111110001100101…
…110111101110011011000110
3201000211100020210011002212000
4200333301211313232123012
5123010121342402313014
61232351123114010130
742365402321063160
oct4077614567563306
9630740223132760
10145120064104134
1142270089a07249
12143392a7a16946
1362c89c0045062
1427b9bc4705930
1511b9d8c627509
hex83fc65dee6c6

145120064104134 has 64 divisors (see below), whose sum is σ = 368580187745280. Its totient is φ = 41460479795520.

The previous prime is 145120064104031. The next prime is 145120064104201. The reversal of 145120064104134 is 431401460021541.

145120064104134 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 0 + 0 + 641 + 0 + 4 + 1 + 3 + 4 = 666.

It is a super-2 number, since 2×1451200641041342 (a number of 29 digits) contains 22 as substring.

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, 4535034 + ... + 17629709.

It is an arithmetic number, because the mean of its divisors is an integer number (5759065433520).

Almost surely, 2145120064104134 is an apocalyptic number.

145120064104134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145120064104134 is an abundant number, since it is smaller than the sum of its proper divisors (223460123641146).

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

145120064104134 is a wasteful number, since it uses less digits than its factorization.

145120064104134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182082 (or 22182076 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145120064104134 in words is "one hundred forty-five trillion, one hundred twenty billion, sixty-four million, one hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 17321 34642 51963 103926 121247 155889 242494 311778 363741 467667 727482 935334 1091223 2182446 3273669 6547338 22164743 44329486 66494229 132988458 155153201 199482687 310306402 398965374 465459603 598448061 930919206 1196896122 1396378809 2792757618 4189136427 8378272854 383915513503 767831027006 1151746540509 2303493081018 2687408594521 3455239621527 5374817189042 6910479243054 8062225783563 10365718864581 16124451567126 20731437729162 24186677350689 48373354701378 72560032052067 145120064104134