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138697335 = 32571273467
BaseRepresentation
bin10000100010001…
…01101001110111
3100122222112222100
420101011221313
5241001303320
621432433143
73302623260
oct1021055167
9318875870
10138697335
11713223a7
123a5487b3
132297243a
14145c5967
15c29a790
hex8445a77

138697335 has 48 divisors (see below), whose sum is σ = 276996096. Its totient is φ = 62887104.

The previous prime is 138697331. The next prime is 138697369. The reversal of 138697335 is 533796831.

It is not a de Polignac number, because 138697335 - 22 = 138697331 is a prime.

It is a super-2 number, since 2×1386973352 = 38473901472204450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138697331) 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 47 ways as a sum of consecutive naturals, for example, 38272 + ... + 41738.

It is an arithmetic number, because the mean of its divisors is an integer number (5770752).

Almost surely, 2138697335 is an apocalyptic number.

138697335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138697335 is a deficient number, since it is larger than the sum of its proper divisors (138298761).

138697335 is a wasteful number, since it uses less digits than its factorization.

138697335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3609 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 138697335 is about 11776.9832724684. The cubic root of 138697335 is about 517.6338938008.

The spelling of 138697335 in words is "one hundred thirty-eight million, six hundred ninety-seven thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 127 315 381 635 889 1143 1905 2667 3467 4445 5715 8001 10401 13335 17335 24269 31203 40005 52005 72807 121345 156015 218421 364035 440309 1092105 1320927 2201545 3082163 3962781 6604635 9246489 15410815 19813905 27739467 46232445 138697335