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145160410135636 = 22747199707978301
BaseRepresentation
bin100001000000010111001010…
…101011100111110001010100
3201000222012101120022212100001
4201000113022223213301110
5123011302004443320021
61232421434413301044
742401331166512160
oct4100271253476124
9630865346285301
10145160410135636
1142286203219935
1214345087794784
1362cc74c9c138c
1427bbb30c29ca0
1511bae4e6b2091
hex8405caae7c54

145160410135636 has 96 divisors (see below), whose sum is σ = 298033698816000. Its totient is φ = 60572651990400.

The previous prime is 145160410135627. The next prime is 145160410135717. The reversal of 145160410135636 is 636531014061541.

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, 1853837686 + ... + 1853915986.

It is an arithmetic number, because the mean of its divisors is an integer number (3104517696000).

Almost surely, 2145160410135636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145160410135636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149016849408000).

145160410135636 is an abundant number, since it is smaller than the sum of its proper divisors (152873288680364).

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

145160410135636 is a wasteful number, since it uses less digits than its factorization.

145160410135636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85637 (or 85635 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 145160410135636 in words is "one hundred forty-five trillion, one hundred sixty billion, four hundred ten million, one hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 47 94 188 199 329 398 658 796 1316 1393 2786 5572 7079 9353 14158 18706 28316 37412 49553 65471 78301 99106 130942 156602 198212 261884 313204 332713 548107 665426 1096214 1330852 1408721 2192428 2328991 2817442 3680147 4657982 5634884 7360294 9315964 9861047 14720588 15581899 19722094 25761029 31163798 39444188 51522058 62327596 66209887 103044116 109073293 132419774 218146586 264839548 436293172 463469209 554292779 732349253 926938418 1108585558 1464698506 1853876836 2217171116 2929397012 3880049453 5126444771 7760098906 10252889542 15520197812 20505779084 26051760613 52103521226 104207042452 110304263021 182362324291 220608526042 364724648582 441217052084 729449297164 772129841147 1544259682294 3088519364588 5184300361987 10368600723974 20737201447948 36290102533909 72580205067818 145160410135636