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137496262272 = 273367975649
BaseRepresentation
bin1000000000001101101…
…0100111011010000000
3111010220100110211021020
42000003122213122000
54223043020343042
6143055342025440
712635166642255
oct2000332473200
9433810424236
10137496262272
1153348067a06
1222793278280
13cc72c54495
146924cc742c
15389b0083ec
hex20036a7680

137496262272 has 64 divisors (see below), whose sum is σ = 366219984000. Its totient is φ = 45707157504.

The previous prime is 137496262271. The next prime is 137496262301. The reversal of 137496262272 is 272262694731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1374962622722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137496262271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346897 + ... + 628752.

It is an arithmetic number, because the mean of its divisors is an integer number (5722187250).

Almost surely, 2137496262272 is an apocalyptic number.

137496262272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137496262272 is an abundant number, since it is smaller than the sum of its proper divisors (228723721728).

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

137496262272 is an equidigital number, since it uses as much as digits as its factorization.

137496262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976033 (or 976021 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 137496262272 in words is "one hundred thirty-seven billion, four hundred ninety-six million, two hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 1101 1468 2202 2936 4404 5872 8808 11744 17616 23488 35232 46976 70464 140928 975649 1951298 2926947 3902596 5853894 7805192 11707788 15610384 23415576 31220768 46831152 62441536 93662304 124883072 187324608 358063183 374649216 716126366 1074189549 1432252732 2148379098 2864505464 4296758196 5729010928 8593516392 11458021856 17187032784 22916043712 34374065568 45832087424 68748131136 137496262272