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148108128 = 2537220399
BaseRepresentation
bin10001101001111…
…11001101100000
3101022200200011020
420310333031200
5300403430003
622410245440
73445620060
oct1064771540
9338620136
10148108128
117666a913
1241726880
13248b8a5c
14159553a0
15d008d53
hex8d3f360

148108128 has 48 divisors (see below), whose sum is σ = 444326400. Its totient is φ = 42316416.

The previous prime is 148108127. The next prime is 148108153. The reversal of 148108128 is 821801841.

148108128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148108127) 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, 109528 + ... + 110871.

It is an arithmetic number, because the mean of its divisors is an integer number (9256800).

Almost surely, 2148108128 is an apocalyptic number.

It is an amenable number.

148108128 is an abundant number, since it is smaller than the sum of its proper divisors (296218272).

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

148108128 is a wasteful number, since it uses less digits than its factorization.

148108128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220419 (or 220411 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 148108128 is about 12169.9682826210. The cubic root of 148108128 is about 529.0860336795.

Adding to 148108128 its reverse (821801841), we get a palindrome (969909969).

The spelling of 148108128 in words is "one hundred forty-eight million, one hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 220399 440798 661197 881596 1322394 1542793 1763192 2644788 3085586 3526384 4628379 5289576 6171172 7052768 9256758 10579152 12342344 18513516 21158304 24684688 37027032 49369376 74054064 148108128