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133119540 = 22325739553
BaseRepresentation
bin1111110111100…
…11111000110100
3100021111011200100
413323303320310
5233034311130
621113114100
73204332421
oct773637064
9307434610
10133119540
1169162754
12386b8930
132176b678
1413972d48
15ba47c60
hex7ef3e34

133119540 has 36 divisors (see below), whose sum is σ = 403796484. Its totient is φ = 35498496.

The previous prime is 133119523. The next prime is 133119563. The reversal of 133119540 is 45911331.

133119540 is a `hidden beast` number, since 1 + 3 + 3 + 119 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86825124 + 46294416 = 9318^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369597 + ... + 369956.

It is an arithmetic number, because the mean of its divisors is an integer number (11216569).

Almost surely, 2133119540 is an apocalyptic number.

133119540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133119540 is an abundant number, since it is smaller than the sum of its proper divisors (270676944).

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

133119540 is a wasteful number, since it uses less digits than its factorization.

133119540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739568 (or 739563 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 133119540 is about 11537.7441469292. The cubic root of 133119540 is about 510.5997557767.

The spelling of 133119540 in words is "one hundred thirty-three million, one hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 739553 1479106 2218659 2958212 3697765 4437318 6655977 7395530 8874636 11093295 13311954 14791060 22186590 26623908 33279885 44373180 66559770 133119540