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137722508685 = 38513930203
BaseRepresentation
bin1000000001000011100…
…1101011010110001101
3111011111010012100000000
42000100321223112031
54224023430234220
6143134023154513
712643615002636
oct2002071532615
9434433170000
10137722508685
1153453847213
1222836ba5a39
13ccaaa9b0b8
146946d7c88d
1538b0ce9390
hex2010e6b58d

137722508685 has 72 divisors (see below), whose sum is σ = 249679553760. Its totient is φ = 72921158496.

The previous prime is 137722508683. The next prime is 137722508687. The reversal of 137722508685 is 586805227731.

137722508685 is a `hidden beast` number, since 1 + 3 + 7 + 72 + 2 + 508 + 68 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (137722508683) and next prime (137722508687).

It is not a de Polignac number, because 137722508685 - 21 = 137722508683 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137722508683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4544794 + ... + 4574996.

It is an arithmetic number, because the mean of its divisors is an integer number (3467771580).

Almost surely, 2137722508685 is an apocalyptic number.

137722508685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137722508685 is a deficient number, since it is larger than the sum of its proper divisors (111957045075).

137722508685 is an frugal number, since it uses more digits than its factorization.

137722508685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30371 (or 30350 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 137722508685 in words is "one hundred thirty-seven billion, seven hundred twenty-two million, five hundred eight thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 139 243 405 417 695 729 1215 1251 2085 2187 3645 3753 6255 6561 10935 11259 18765 30203 32805 33777 56295 90609 101331 151015 168885 271827 303993 453045 506655 815481 911979 1359135 1519965 2446443 4077405 4198217 4559895 7339329 12232215 12594651 20991085 22017987 36696645 37783953 62973255 66053961 110089935 113351859 188919765 198161883 330269805 340055577 566759295 990809415 1020166731 1700277885 3060500193 5100833655 9181500579 15302500965 27544501737 45907502895 137722508685