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137919040359 = 31719223787811
BaseRepresentation
bin1000000001110010011…
…1011000101101100111
3111011222211000011202220
42000130213120231213
54224424233242414
6143205323403423
712651522333402
oct2003447305547
9434884004686
10137919040359
1153544780391
1222890983573
131000c70c829
1469650dad39
1538c31baca9
hex201c9d8b67

137919040359 has 64 divisors (see below), whose sum is σ = 206391951360. Its totient is φ = 81410987520.

The previous prime is 137919040319. The next prime is 137919040361. The reversal of 137919040359 is 953040919731.

It is not a de Polignac number, because 137919040359 - 212 = 137919036263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137919040319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170060064 + ... + 170060874.

It is an arithmetic number, because the mean of its divisors is an integer number (3224874240).

Almost surely, 2137919040359 is an apocalyptic number.

137919040359 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137919040359 is a deficient number, since it is larger than the sum of its proper divisors (68472911001).

137919040359 is a wasteful number, since it uses less digits than its factorization.

137919040359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860.

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 137919040359 in words is "one hundred thirty-seven billion, nine hundred nineteen million, forty thousand, three hundred fifty-nine".

Divisors: 1 3 17 19 51 57 223 323 669 787 811 969 2361 2433 3791 4237 11373 12711 13379 13787 14953 15409 40137 41361 44859 46227 72029 175501 180853 216087 254201 261953 526503 542559 638257 762603 785859 1914771 2983517 3074501 3334519 3436207 8950551 9223503 10003557 10308621 10850369 12126883 32551107 36380649 56686823 58415519 142331311 170060469 175246557 206157011 426993933 618471033 2419632287 2704294909 7258896861 8112884727 45973013453 137919040359