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137322675 = 3352729063
BaseRepresentation
bin10000010111101…
…10000010110011
3100120101201022000
420023312002303
5240123311200
621343145043
73255136440
oct1013660263
9316351260
10137322675
1170573616
1239ba5183
13225b0829
14143489c7
15c0c8300
hex82f60b3

137322675 has 48 divisors (see below), whose sum is σ = 288314880. Its totient is φ = 62773920.

The previous prime is 137322667. The next prime is 137322683. The reversal of 137322675 is 576223731.

It is an interprime number because it is at equal distance from previous prime (137322667) and next prime (137322683).

It is not a de Polignac number, because 137322675 - 23 = 137322667 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9807 + ... + 19256.

It is an arithmetic number, because the mean of its divisors is an integer number (6006560).

Almost surely, 2137322675 is an apocalyptic number.

137322675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137322675 is an abundant number, since it is smaller than the sum of its proper divisors (150992205).

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

137322675 is a wasteful number, since it uses less digits than its factorization.

137322675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29089 (or 29078 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 137322675 is about 11718.4757967920. The cubic root of 137322675 is about 515.9180846169.

The spelling of 137322675 in words is "one hundred thirty-seven million, three hundred twenty-two thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 29063 87189 145315 203441 261567 435945 610323 726575 784701 1017205 1307835 1830969 2179725 3051615 3923505 5086025 5492907 6539175 9154845 15258075 19617525 27464535 45774225 137322675