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165158136 = 233311135347
BaseRepresentation
bin10011101100000…
…01110011111000
3102111202220101000
421312001303320
5314240030021
624215525000
74043551413
oct1166016370
9374686330
10165158136
1185255830
1247389760
13282a8510
1417d12b7a
15e775b26
hex9d81cf8

165158136 has 128 divisors (see below), whose sum is σ = 539078400. Its totient is φ = 46189440.

The previous prime is 165158093. The next prime is 165158143. The reversal of 165158136 is 631851561.

165158136 is a `hidden beast` number, since 1 + 6 + 515 + 8 + 136 = 666.

165158136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165158136.

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, 28215 + ... + 33561.

It is an arithmetic number, because the mean of its divisors is an integer number (4211550).

Almost surely, 2165158136 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 165158136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269539200).

165158136 is an abundant number, since it is smaller than the sum of its proper divisors (373920264).

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

165158136 is a wasteful number, since it uses less digits than its factorization.

165158136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5376 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 165158136 is about 12851.3865399808. The cubic root of 165158136 is about 548.6558205823.

The spelling of 165158136 in words is "one hundred sixty-five million, one hundred fifty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 5148 5347 7722 10296 10694 15444 16041 21388 30888 32082 42776 48123 58817 64164 69511 96246 117634 128328 139022 144369 176451 192492 208533 235268 278044 288738 352902 384984 417066 470536 529353 556088 577476 625599 705804 764621 834132 1058706 1154952 1251198 1411608 1529242 1588059 1668264 1876797 2117412 2293863 2502396 3058484 3176118 3753594 4234824 4587726 5004792 6116968 6352236 6881589 7507188 9175452 12704472 13763178 15014376 18350904 20644767 27526356 41289534 55052712 82579068 165158136