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128146144 = 2572712111
BaseRepresentation
bin1111010001101…
…01101011100000
322221010111110111
413220311223200
5230301134034
620414341104
73114136630
oct750655340
9287114414
10128146144
1166376105
1236aba794
1320719a29
141303a6c0
15b3b4364
hex7a35ae0

128146144 has 48 divisors (see below), whose sum is σ = 289529856. Its totient is φ = 54691200.

The previous prime is 128146121. The next prime is 128146147. The reversal of 128146144 is 441641821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128146147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59649 + ... + 61759.

It is an arithmetic number, because the mean of its divisors is an integer number (6031872).

Almost surely, 2128146144 is an apocalyptic number.

128146144 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 128146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928).

128146144 is an abundant number, since it is smaller than the sum of its proper divisors (161383712).

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

128146144 is a wasteful number, since it uses less digits than its factorization.

128146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 128146144 is about 11320.1653698168. The cubic root of 128146144 is about 504.1601489887.

Adding to 128146144 its reverse (441641821), we get a palindrome (569787965).

The spelling of 128146144 in words is "one hundred twenty-eight million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 1084 1897 2111 2168 3794 4222 4336 7588 8444 8672 14777 15176 16888 29554 30352 33776 59108 60704 67552 118216 236432 472864 572081 1144162 2288324 4004567 4576648 8009134 9153296 16018268 18306592 32036536 64073072 128146144