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148133601 = 32711593623
BaseRepresentation
bin10001101010001…
…01011011100001
3101022201222002200
420311011123201
5300410233401
622411003413
73446054250
oct1065053341
9338658080
10148133601
1176687a70
1241739569
13248c7525
1415960797
15d011686
hex8d456e1

148133601 has 48 divisors (see below), whose sum is σ = 271365120. Its totient is φ = 75627360.

The previous prime is 148133599. The next prime is 148133627. The reversal of 148133601 is 106331841.

148133601 is a `hidden beast` number, since 1 + 48 + 13 + 3 + 601 = 666.

It is not a de Polignac number, because 148133601 - 21 = 148133599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (148133641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39076 + ... + 42698.

It is an arithmetic number, because the mean of its divisors is an integer number (5653440).

Almost surely, 2148133601 is an apocalyptic number.

148133601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148133601 is a deficient number, since it is larger than the sum of its proper divisors (123231519).

148133601 is a wasteful number, since it uses less digits than its factorization.

148133601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 148133601 is about 12171.0147892442. The cubic root of 148133601 is about 529.1163643038.

The spelling of 148133601 in words is "one hundred forty-eight million, one hundred thirty-three thousand, six hundred one".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3623 3717 4543 5841 10869 13629 25361 32607 39853 40887 76083 119559 213757 228249 278971 358677 641271 836913 1496299 1923813 2351327 2510739 4488897 7053981 13466691 16459289 21161943 49377867 148133601