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145551144 = 23317532127
BaseRepresentation
bin10001010110011…
…10111100101000
3101010212202122010
420223032330220
5244230114034
622235355520
73415110234
oct1053167450
9333782563
10145551144
1175183802
12408b2ba0
1324201c4b
141548b5c4
15cba13e9
hex8acef28

145551144 has 96 divisors (see below), whose sum is σ = 395781120. Its totient is φ = 44448768.

The previous prime is 145551121. The next prime is 145551149. The reversal of 145551144 is 441155541.

145551144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145551149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146009 + ... + 1146135.

It is an arithmetic number, because the mean of its divisors is an integer number (4122720).

Almost surely, 2145551144 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 145551144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197890560).

145551144 is an abundant number, since it is smaller than the sum of its proper divisors (250229976).

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

145551144 is a wasteful number, since it uses less digits than its factorization.

145551144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 202 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 145551144 is about 12064.4578825573. The cubic root of 145551144 is about 526.0235740518.

The spelling of 145551144 in words is "one hundred forty-five million, five hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 127 136 159 204 212 254 318 381 408 424 508 636 762 901 1016 1272 1524 1802 2159 2703 2809 3048 3604 4318 5406 5618 6477 6731 7208 8427 8636 10812 11236 12954 13462 16854 17272 20193 21624 22472 25908 26924 33708 40386 47753 51816 53848 67416 80772 95506 114427 143259 161544 191012 228854 286518 343281 356743 382024 457708 573036 686562 713486 915416 1070229 1146072 1373124 1426972 2140458 2746248 2853944 4280916 6064631 8561832 12129262 18193893 24258524 36387786 48517048 72775572 145551144