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137268557 = 1737218233
BaseRepresentation
bin10000010111010…
…00110101001101
3100120021222001122
420023220311031
5240120043212
621342050325
73254522606
oct1013506515
9316258048
10137268557
1170536998
1239b799a5
1322591cca
1414332dad
15c0b7272
hex82e8d4d

137268557 has 8 divisors (see below), whose sum is σ = 149272056. Its totient is φ = 125701632.

The previous prime is 137268553. The next prime is 137268581. The reversal of 137268557 is 755862731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112805641 + 24462916 = 10621^2 + 4946^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137268557 - 22 = 137268553 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137268553) 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, 108488 + ... + 109745.

It is an arithmetic number, because the mean of its divisors is an integer number (18659007).

Almost surely, 2137268557 is an apocalyptic number.

137268557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137268557 is a deficient number, since it is larger than the sum of its proper divisors (12003499).

137268557 is a wasteful number, since it uses less digits than its factorization.

137268557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218287.

The product of its digits is 352800, while the sum is 44.

The square root of 137268557 is about 11716.1664805516. The cubic root of 137268557 is about 515.8503023577.

The spelling of 137268557 in words is "one hundred thirty-seven million, two hundred sixty-eight thousand, five hundred fifty-seven".

Divisors: 1 17 37 629 218233 3709961 8074621 137268557