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137764039 = 7217165383
BaseRepresentation
bin10000011011000…
…01110011000111
3100121020010201211
420031201303013
5240231422124
621400432251
73261655300
oct1015416307
9317203654
10137764039
1170845186
123a178687
13227066aa
14144217a7
15c163e94
hex8361cc7

137764039 has 12 divisors (see below), whose sum is σ = 169683984. Its totient is φ = 111136704.

The previous prime is 137764019. The next prime is 137764051. The reversal of 137764039 is 930467731.

It is not a de Polignac number, because 137764039 - 215 = 137731271 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137763992 and 137764010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137764009) 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 11 ways as a sum of consecutive naturals, for example, 81859 + ... + 83524.

It is an arithmetic number, because the mean of its divisors is an integer number (14140332).

Almost surely, 2137764039 is an apocalyptic number.

137764039 is a deficient number, since it is larger than the sum of its proper divisors (31919945).

137764039 is a wasteful number, since it uses less digits than its factorization.

137764039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165414 (or 165407 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 137764039 is about 11737.2926605755. The cubic root of 137764039 is about 516.4702249157.

The spelling of 137764039 in words is "one hundred thirty-seven million, seven hundred sixty-four thousand, thirty-nine".

Divisors: 1 7 17 49 119 833 165383 1157681 2811511 8103767 19680577 137764039