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145134444 = 223713294583
BaseRepresentation
bin10001010011010…
…01001101101100
3101010002121000210
420221221031230
5244123300234
622222422420
73411423330
oct1051511554
9333077023
10145134444
1174a19724
1240731a10
13240b7390
14153bd7c0
15cb1cbe9
hex8a6936c

145134444 has 96 divisors (see below), whose sum is σ = 431262720. Its totient is φ = 36949248.

The previous prime is 145134443. The next prime is 145134463. The reversal of 145134444 is 444431541.

It is not an unprimeable number, because it can be changed into a prime (145134443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29377 + ... + 33959.

It is an arithmetic number, because the mean of its divisors is an integer number (4492320).

Almost surely, 2145134444 is an apocalyptic number.

145134444 is a gapful number since it is divisible by the number (14) 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 145134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215631360).

145134444 is an abundant number, since it is smaller than the sum of its proper divisors (286128276).

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

145134444 is a wasteful number, since it uses less digits than its factorization.

145134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4637 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 145134444 is about 12047.1757686190. The cubic root of 145134444 is about 525.5211079809.

Adding to 145134444 its reverse (444431541), we get a palindrome (589565985).

The spelling of 145134444 in words is "one hundred forty-five million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2436 2639 4524 4583 5278 7917 9166 10556 13749 15834 18332 27498 31668 32081 54996 59579 64162 96243 119158 128324 132907 178737 192486 238316 265814 357474 384972 398721 417053 531628 714948 797442 834106 930349 1251159 1594884 1668212 1727791 1860698 2502318 2791047 3455582 3721396 5004636 5183373 5582094 6911164 10366746 11164188 12094537 20733492 24189074 36283611 48378148 72567222 145134444