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145098135 = 34571331127
BaseRepresentation
bin10001010011000…
…00010110010111
3101010000202020000
420221200112113
5244121120020
622221542343
73411212430
oct1051402627
9333022200
10145098135
11749a4416
12407149b3
13240a39b0
14153b0487
15cb12090
hex8a60597

145098135 has 160 divisors (see below), whose sum is σ = 333053952. Its totient is φ = 58786560.

The previous prime is 145098133. The next prime is 145098209. The reversal of 145098135 is 531890541.

145098135 is a `hidden beast` number, since 14 + 509 + 8 + 135 = 666.

It is not a de Polignac number, because 145098135 - 21 = 145098133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145098135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145098131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1142442 + ... + 1142568.

Almost surely, 2145098135 is an apocalyptic number.

145098135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145098135 is an abundant number, since it is smaller than the sum of its proper divisors (187955817).

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

145098135 is a wasteful number, since it uses less digits than its factorization.

145098135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

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

The square root of 145098135 is about 12045.6687236533. The cubic root of 145098135 is about 525.4772802562.

The spelling of 145098135 in words is "one hundred forty-five million, ninety-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 31 35 39 45 63 65 81 91 93 105 117 127 135 155 189 195 217 273 279 315 351 381 403 405 455 465 567 585 635 651 819 837 889 945 1053 1085 1143 1209 1365 1395 1651 1755 1905 1953 2015 2457 2511 2667 2821 2835 3255 3429 3627 3937 4095 4185 4445 4953 5265 5715 5859 6045 7371 8001 8255 8463 9765 10287 10881 11557 11811 12285 12555 13335 14105 14859 17145 17577 18135 19685 24003 24765 25389 27559 29295 32643 34671 35433 36855 40005 42315 44577 51181 51435 54405 57785 59055 72009 74295 76167 82677 87885 104013 106299 120015 126945 133731 137795 153543 163215 173355 177165 222885 228501 248031 255905 312039 318897 358267 360045 380835 413385 460629 520065 531495 668655 744093 767715 936117 1074801 1142505 1240155 1381887 1560195 1594485 1791335 2232279 2303145 3224403 3720465 4145661 4680585 5374005 6909435 9673209 11161395 16122015 20728305 29019627 48366045 145098135