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145432144 = 241113173739
BaseRepresentation
bin10001010101100…
…01111001010000
3101010122201101201
420222301321100
5244212312034
622233040544
73414103264
oct1052617120
9333581351
10145432144
1175102360
1240856154
132418ca30
141545a0a4
15cb7b014
hex8ab1e50

145432144 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 57415680.

The previous prime is 145432123. The next prime is 145432169. The reversal of 145432144 is 441234541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37027 + ... + 40765.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2145432144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

145432144 is an abundant number, since it is smaller than the sum of its proper divisors (205170416).

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

145432144 is a wasteful number, since it uses less digits than its factorization.

145432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3782 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 145432144 is about 12059.5250321064. The cubic root of 145432144 is about 525.8801791582.

Adding to 145432144 its reverse (441234541), we get a palindrome (586666685).

It can be divided in two parts, 1454321 and 44, that added together give a triangular number (1454365 = T1705).

The spelling of 145432144 in words is "one hundred forty-five million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 3739 4862 7478 9724 14956 19448 29912 38896 41129 48607 59824 63563 82258 97214 127126 164516 194428 254252 329032 388856 508504 534677 658064 699193 777712 826319 1017008 1069354 1398386 1652638 2138708 2796772 3305276 4277416 5593544 6610552 8554832 9089509 11187088 13221104 18179018 36358036 72716072 145432144