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145138166180 = 22573745176203
BaseRepresentation
bin1000011100101011101…
…0001010100110100100
3111212121221001202200022
42013022322022212210
54334220332304210
6150401530334312
713325442025430
oct2071272124644
9455557052608
10145138166180
1156609790477
122416658a398
13108c0238307
14704bbb79c0
153b96d6b155
hex21cae8a9a4

145138166180 has 96 divisors (see below), whose sum is σ = 357882852096. Its totient is φ = 48398224896.

The previous prime is 145138166171. The next prime is 145138166197. The reversal of 145138166180 is 81661831541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23394959 + ... + 23401161.

It is an arithmetic number, because the mean of its divisors is an integer number (3727946376).

Almost surely, 2145138166180 is an apocalyptic number.

145138166180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145138166180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178941426048).

145138166180 is an abundant number, since it is smaller than the sum of its proper divisors (212744685916).

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

145138166180 is a wasteful number, since it uses less digits than its factorization.

145138166180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 145138166180 in words is "one hundred forty-five billion, one hundred thirty-eight million, one hundred sixty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 4517 5180 6203 9034 12406 18068 22585 24812 31015 31619 43421 45170 62030 63238 86842 90340 124060 126476 158095 167129 173684 217105 229511 316190 334258 434210 459022 632380 668516 835645 868420 918044 1147555 1169903 1606577 1671290 2295110 2339806 3213154 3342580 4590220 4679612 5849515 6426308 8032885 11699030 16065770 23398060 28018951 32131540 56037902 112075804 140094755 196132657 280189510 392265314 560379020 784530628 980663285 1036701187 1961326570 2073402374 3922653140 4146804748 5183505935 7256908309 10367011870 14513816618 20734023740 29027633236 36284541545 72569083090 145138166180