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145157064 = 233132961263
BaseRepresentation
bin10001010011011…
…10101111001000
3101010010202001120
420221232233020
5244130011224
622223115240
73411546303
oct1051565710
9333122046
10145157064
1174a34718
1240742b20
13240c4770
14153c7b3a
15cb24779
hex8a6ebc8

145157064 has 128 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 42255360.

The previous prime is 145157059. The next prime is 145157087. The reversal of 145157064 is 460751541.

145157064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 551797 + ... + 552059.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2145157064 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 145157064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

145157064 is an abundant number, since it is smaller than the sum of its proper divisors (267316536).

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

145157064 is a wasteful number, since it uses less digits than its factorization.

145157064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 145157064 is about 12048.1145412882. The cubic root of 145157064 is about 525.5484083460.

The spelling of 145157064 in words is "one hundred forty-five million, one hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 61 78 87 104 116 122 156 174 183 232 244 263 312 348 366 377 488 526 696 732 754 789 793 1052 1131 1464 1508 1578 1586 1769 2104 2262 2379 3016 3156 3172 3419 3538 4524 4758 5307 6312 6344 6838 7076 7627 9048 9516 10257 10614 13676 14152 15254 16043 19032 20514 21228 22881 22997 27352 30508 32086 41028 42456 45762 45994 48129 61016 64172 68991 82056 91524 91988 96258 99151 128344 137982 183048 183976 192516 198302 208559 275964 297453 385032 396604 417118 465247 551928 594906 625677 793208 834236 930494 1189812 1251354 1395741 1668472 1860988 2379624 2502708 2791482 3721976 5005416 5582964 6048211 11165928 12096422 18144633 24192844 36289266 48385688 72578532 145157064