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134217937 = 754735053
BaseRepresentation
bin10000000000000…
…00000011010001
3100100112222101201
420000000003101
5233324433222
621152431201
73216555640
oct1000000321
9310488351
10134217937
1169842a17
1238b48501
1321a645c9
1413b7b357
15bbb3427
hex80000d1

134217937 has 8 divisors (see below), whose sum is σ = 153676736. Its totient is φ = 114830352.

The previous prime is 134217931. The next prime is 134217943. The reversal of 134217937 is 739712431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134217931) and next prime (134217943).

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

It is not a de Polignac number, because 134217937 - 23 = 134217929 is a prime.

It is a super-2 number, since 2×1342179372 = 36028909225071938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134217896 and 134217905.

It is not an unprimeable number, because it can be changed into a prime (134217931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13698 + ... + 21355.

It is an arithmetic number, because the mean of its divisors is an integer number (19209592).

Almost surely, 2134217937 is an apocalyptic number.

It is an amenable number.

134217937 is a deficient number, since it is larger than the sum of its proper divisors (19458799).

134217937 is an equidigital number, since it uses as much as digits as its factorization.

134217937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35607.

The product of its digits is 31752, while the sum is 37.

The square root of 134217937 is about 11585.2465230568. The cubic root of 134217937 is about 512.0002657571. Note that the first 3 decimals are identical.

The spelling of 134217937 in words is "one hundred thirty-four million, two hundred seventeen thousand, nine hundred thirty-seven".

Divisors: 1 7 547 3829 35053 245371 19173991 134217937