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145668915 = 3357219261
BaseRepresentation
bin10001010111010…
…11101100110011
3101011002202012000
420223223230303
5244242401130
622242105043
73416110500
oct1053535463
9334082160
10145668915
1175254237
124094b183
1324243732
14154bc4a7
15cbc6260
hex8aebb33

145668915 has 144 divisors (see below), whose sum is σ = 323148960. Its totient is φ = 62052480.

The previous prime is 145668899. The next prime is 145668973. The reversal of 145668915 is 519866541.

145668915 is a `hidden beast` number, since 1 + 4 + 566 + 89 + 1 + 5 = 666.

It is not a de Polignac number, because 145668915 - 24 = 145668899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2387985 + ... + 2388045.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2145668915 is an apocalyptic number.

145668915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145668915 is an abundant number, since it is smaller than the sum of its proper divisors (177480045).

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

145668915 is a wasteful number, since it uses less digits than its factorization.

145668915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 145668915 is about 12069.3378028788. The cubic root of 145668915 is about 526.1654110706.

The spelling of 145668915 in words is "one hundred forty-five million, six hundred sixty-eight thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 49 57 61 63 95 105 133 135 147 171 183 189 245 285 305 315 361 399 427 441 513 549 665 735 855 915 931 945 1083 1159 1197 1281 1323 1647 1805 1995 2135 2205 2527 2565 2745 2793 2989 3249 3477 3591 3843 4655 5415 5795 5985 6405 6615 7581 8113 8235 8379 8967 9747 10431 11529 12635 13965 14945 16245 17385 17689 17955 19215 22021 22743 24339 25137 26901 31293 37905 40565 41895 44835 48735 52155 53067 56791 57645 66063 68229 73017 80703 88445 110105 113715 121695 125685 134505 154147 156465 159201 170373 198189 219051 265335 283955 330315 341145 365085 403515 462441 477603 511119 594567 770735 796005 851865 990945 1079029 1095255 1387323 1533357 2312205 2388015 2555595 2972835 3237087 4161969 5395145 6936615 7666785 9711261 16185435 20809845 29133783 48556305 145668915