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138087345 = 351117192591
BaseRepresentation
bin10000011101100…
…00101110110001
3100121211120020010
420032300232301
5240322243340
621411405133
73264503004
oct1016605661
9317746203
10138087345
1170a46080
123a2b37a9
13227ba8b6
14144a753b
15c1c9b80
hex83b0bb1

138087345 has 64 divisors (see below), whose sum is σ = 268738560. Its totient is φ = 59673600.

The previous prime is 138087343. The next prime is 138087371. The reversal of 138087345 is 543780831.

It is not a de Polignac number, because 138087345 - 21 = 138087343 is a prime.

It is a super-2 number, since 2×1380873452 = 38136229698298050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138087343) 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 63 ways as a sum of consecutive naturals, for example, 52000 + ... + 54590.

It is an arithmetic number, because the mean of its divisors is an integer number (4199040).

Almost surely, 2138087345 is an apocalyptic number.

138087345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138087345 is a deficient number, since it is larger than the sum of its proper divisors (130651215).

138087345 is a wasteful number, since it uses less digits than its factorization.

138087345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 138087345 is about 11751.0571864833. The cubic root of 138087345 is about 516.8739284075.

The spelling of 138087345 in words is "one hundred thirty-eight million, eighty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 19 33 51 55 57 85 95 165 187 209 255 285 323 561 627 935 969 1045 1615 2591 2805 3135 3553 4845 7773 10659 12955 17765 28501 38865 44047 49229 53295 85503 132141 142505 147687 220235 246145 427515 484517 541519 660705 738435 836893 1453551 1624557 2422585 2510679 2707595 4184465 7267755 8122785 9205823 12553395 27617469 46029115 138087345