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137321745 = 3511832253
BaseRepresentation
bin10000010111101…
…01110100010001
3100120101200000120
420023311310101
5240123243440
621343140453
73255133641
oct1013656421
9316350016
10137321745
1170572950
1239ba4729
13225b0292
1414348521
15c0c7dd0
hex82f5d11

137321745 has 16 divisors (see below), whose sum is σ = 239689152. Its totient is φ = 66580160.

The previous prime is 137321713. The next prime is 137321783. The reversal of 137321745 is 547123731.

It is not a de Polignac number, because 137321745 - 25 = 137321713 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 415962 + ... + 416291.

It is an arithmetic number, because the mean of its divisors is an integer number (14980572).

Almost surely, 2137321745 is an apocalyptic number.

137321745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137321745 is a deficient number, since it is larger than the sum of its proper divisors (102367407).

137321745 is a wasteful number, since it uses less digits than its factorization.

137321745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832272.

The product of its digits is 17640, while the sum is 33.

The square root of 137321745 is about 11718.4361157963. The cubic root of 137321745 is about 515.9169199515.

The spelling of 137321745 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 832253 2496759 4161265 9154783 12483795 27464349 45773915 137321745