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145121340 = 223572133797
BaseRepresentation
bin10001010011001…
…10000000111100
3101010001221001110
420221212000330
5244122340330
622222242020
73411340200
oct1051460074
9333057043
10145121340
1174a0a8a1
1240726310
13240b1420
14153b8b00
15cb18db0
hex8a6603c

145121340 has 144 divisors (see below), whose sum is σ = 509175072. Its totient is φ = 30610944.

The previous prime is 145121309. The next prime is 145121351. The reversal of 145121340 is 43121541.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36322 + ... + 40118.

It is an arithmetic number, because the mean of its divisors is an integer number (3535938).

Almost surely, 2145121340 is an apocalyptic number.

145121340 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 145121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254587536).

145121340 is an abundant number, since it is smaller than the sum of its proper divisors (364053732).

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

145121340 is a wasteful number, since it uses less digits than its factorization.

145121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145121340 is about 12046.6318944342. The cubic root of 145121340 is about 525.5052912993.

Adding to 145121340 its reverse (43121541), we get a palindrome (188242881).

It can be divided in two parts, 1451 and 21340, that added together give a triangular number (22791 = T213).

The spelling of 145121340 in words is "one hundred forty-five million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3797 3822 5460 6370 7594 7644 9555 11391 12740 15188 18985 19110 22782 26579 37970 38220 45564 49361 53158 56955 75940 79737 98722 106316 113910 132895 148083 159474 186053 197444 227820 246805 265790 296166 318948 345527 372106 398685 493610 531580 558159 592332 691054 740415 744212 797370 930265 987220 1036581 1116318 1382108 1480830 1594740 1727635 1860530 2073162 2232636 2418689 2790795 2961660 3455270 3721060 4146324 4837378 5182905 5581590 6910540 7256067 9674756 10365810 11163180 12093445 14512134 20731620 24186890 29024268 36280335 48373780 72560670 145121340