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133774037 = 1761129001
BaseRepresentation
bin1111111100100…
…11101011010101
3100022201102110222
413332103223111
5233221232122
621135124125
73213026525
oct776235325
9308642428
10133774037
116956a461
1238973645
132193a547
1413aa3685
15bb26b42
hex7f93ad5

133774037 has 8 divisors (see below), whose sum is σ = 143966232. Its totient is φ = 123840000.

The previous prime is 133774027. The next prime is 133774057. The reversal of 133774037 is 730477331.

It can be written as a sum of positive squares in 4 ways, for example, as 4519876 + 129254161 = 2126^2 + 11369^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133774037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133773988 and 133774006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133774007) 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, 63464 + ... + 65537.

It is an arithmetic number, because the mean of its divisors is an integer number (17995779).

Almost surely, 2133774037 is an apocalyptic number.

133774037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133774037 is a deficient number, since it is larger than the sum of its proper divisors (10192195).

133774037 is a wasteful number, since it uses less digits than its factorization.

133774037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129079.

The product of its (nonzero) digits is 37044, while the sum is 35.

The square root of 133774037 is about 11566.0726696662. The cubic root of 133774037 is about 511.4351948913.

The spelling of 133774037 in words is "one hundred thirty-three million, seven hundred seventy-four thousand, thirty-seven".

Divisors: 1 17 61 1037 129001 2193017 7869061 133774037