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145000144 = 24312831033
BaseRepresentation
bin10001010010010…
…00011011010000
3101002211202210201
420221020123100
5244110001034
622215504544
73410323642
oct1051103320
9332752721
10145000144
1174937833
1240688154
132406b203
1415386892
15cae3014
hex8a486d0

145000144 has 40 divisors (see below), whose sum is σ = 291306752. Its totient is φ = 69845760.

The previous prime is 145000117. The next prime is 145000169. The reversal of 145000144 is 441000541.

145000144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139852 + ... + 140884.

Almost surely, 2145000144 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 145000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145653376).

145000144 is an abundant number, since it is smaller than the sum of its proper divisors (146306608).

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

145000144 is a wasteful number, since it uses less digits than its factorization.

145000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 145000144 is about 12041.6005580654. The cubic root of 145000144 is about 525.3589611611.

Adding to 145000144 its reverse (441000541), we get a palindrome (586000685).

The spelling of 145000144 in words is "one hundred forty-five million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 124 248 283 496 566 1033 1132 2066 2264 4132 4528 8264 8773 16528 17546 32023 35092 64046 70184 128092 140368 256184 292339 512368 584678 1169356 2338712 4677424 9062509 18125018 36250036 72500072 145000144