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145128120 = 23353893109
BaseRepresentation
bin10001010011001…
…11101010111000
3101010002021100120
420221213222320
5244123044440
622222333240
73411366024
oct1051475270
9333067316
10145128120
1174a149a5
124072a220
13240b4537
14153bb384
15cb1add0
hex8a67ab8

145128120 has 64 divisors (see below), whose sum is σ = 436644000. Its totient is φ = 38588928.

The previous prime is 145128079. The next prime is 145128149. The reversal of 145128120 is 21821541.

145128120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 45126 + ... + 48234.

Almost surely, 2145128120 is an apocalyptic number.

145128120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145128120 is an abundant number, since it is smaller than the sum of its proper divisors (291515880).

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

145128120 is a wasteful number, since it uses less digits than its factorization.

145128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 145128120 is about 12046.9132976045. The cubic root of 145128120 is about 525.5134749576.

Adding to 145128120 its reverse (21821541), we get a palindrome (166949661).

The spelling of 145128120 in words is "one hundred forty-five million, one hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3109 3112 3890 4668 5835 6218 7780 9327 9336 11670 12436 15545 15560 18654 23340 24872 31090 37308 46635 46680 62180 74616 93270 124360 186540 373080 1209401 2418802 3628203 4837604 6047005 7256406 9675208 12094010 14512812 18141015 24188020 29025624 36282030 48376040 72564060 145128120