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133740205 = 597313881
BaseRepresentation
bin1111111100010…
…11011010101101
3100022122201001221
413332023122231
5233214141310
621134303341
73212526064
oct776133255
9308581057
10133740205
1169546aa5
1238957b51
1321928021
1413a951db
15bb1bada
hex7f8b6ad

133740205 has 16 divisors (see below), whose sum is σ = 162845424. Its totient is φ = 105431040.

The previous prime is 133740151. The next prime is 133740209. The reversal of 133740205 is 502047331.

It can be written as a sum of positive squares in 8 ways, for example, as 45887076 + 87853129 = 6774^2 + 9373^2 .

It is not a de Polignac number, because 133740205 - 27 = 133740077 is a prime.

It is a super-3 number, since 3×1337402053 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133740205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133740209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151365 + ... + 152245.

It is an arithmetic number, because the mean of its divisors is an integer number (10177839).

Almost surely, 2133740205 is an apocalyptic number.

It is an amenable number.

133740205 is a deficient number, since it is larger than the sum of its proper divisors (29105219).

133740205 is an equidigital number, since it uses as much as digits as its factorization.

133740205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 133740205 is about 11564.6100236887. The cubic root of 133740205 is about 511.3920765734.

Adding to 133740205 its reverse (502047331), we get a palindrome (635787536).

The spelling of 133740205 in words is "one hundred thirty-three million, seven hundred forty thousand, two hundred five".

Divisors: 1 5 97 313 485 881 1565 4405 30361 85457 151805 275753 427285 1378765 26748041 133740205