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133838757 = 3313973931
BaseRepresentation
bin1111111101000…
…11011110100101
3100022211201021000
413332203132211
5233230320012
621140343513
73213416313
oct776433645
9308751230
10133838757
1169604048
12389a4b99
1321960b40
1413abd0b3
15bb3addc
hex7fa37a5

133838757 has 32 divisors (see below), whose sum is σ = 215788160. Its totient is φ = 81492480.

The previous prime is 133838753. The next prime is 133838759. The reversal of 133838757 is 757838331.

It is not a de Polignac number, because 133838757 - 22 = 133838753 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133838753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32082 + ... + 36012.

It is an arithmetic number, because the mean of its divisors is an integer number (6743380).

Almost surely, 2133838757 is an apocalyptic number.

It is an amenable number.

133838757 is a deficient number, since it is larger than the sum of its proper divisors (81949403).

133838757 is a wasteful number, since it uses less digits than its factorization.

133838757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4044 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 133838757 is about 11568.8701695542. The cubic root of 133838757 is about 511.5176591972.

The spelling of 133838757 in words is "one hundred thirty-three million, eight hundred thirty-eight thousand, seven hundred fifty-seven".

Divisors: 1 3 9 13 27 39 97 117 291 351 873 1261 2619 3783 3931 11349 11793 34047 35379 51103 106137 153309 381307 459927 1143921 1379781 3431763 4956991 10295289 14870973 44612919 133838757