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145135452 = 2237211191181
BaseRepresentation
bin10001010011010…
…01011101011100
3101010002122102010
420221221131130
5244123313302
622222431220
73411426300
oct1051513534
9333078363
10145135452
1174a1a460
1240732510
13240b7987
14153bdd00
15cb1d16c
hex8a6975c

145135452 has 144 divisors (see below), whose sum is σ = 452753280. Its totient is φ = 35683200.

The previous prime is 145135447. The next prime is 145135481. The reversal of 145135452 is 254531541.

145135452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122302 + ... + 123482.

It is an arithmetic number, because the mean of its divisors is an integer number (3144120).

Almost surely, 2145135452 is an apocalyptic number.

145135452 is a gapful number since it is divisible by the number (12) 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 145135452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226376640).

145135452 is an abundant number, since it is smaller than the sum of its proper divisors (307617828).

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

145135452 is a wasteful number, since it uses less digits than its factorization.

145135452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 145135452 is about 12047.2176040777. The cubic root of 145135452 is about 525.5223246093.

Adding to 145135452 its reverse (254531541), we get a palindrome (399666993).

The spelling of 145135452 in words is "one hundred forty-five million, one hundred thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 114 132 133 147 154 196 209 228 231 266 294 308 399 418 462 532 539 588 627 798 836 924 931 1078 1181 1254 1463 1596 1617 1862 2156 2362 2508 2793 2926 3234 3543 3724 4389 4724 5586 5852 6468 7086 8267 8778 10241 11172 12991 14172 16534 17556 20482 22439 24801 25982 30723 33068 38973 40964 44878 49602 51964 57869 61446 67317 77946 89756 90937 99204 115738 122892 134634 155892 157073 173607 181874 231476 246829 269268 272811 314146 347214 363748 471219 493658 545622 628292 636559 694428 740487 942438 987316 1091244 1099511 1273118 1480974 1727803 1884876 1909677 2199022 2546236 2961948 3298533 3455606 3819354 4398044 5183409 6597066 6911212 7638708 10366818 12094621 13194132 20733636 24189242 36283863 48378484 72567726 145135452