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138515845122 = 2312194
BaseRepresentation
bin1000000100000000110…
…0000001000000000010
3111020112102000000000000
42001000030001000002
54232140024020442
6143344443140430
713002360154104
oct2010014010002
9436472000000
10138515845122
1153820646666
1222a18814716
13100a6259c45
1469c0491574
15390a7a6d4c
hex2040301002

138515845122 has 130 divisors (see below), whose sum is σ = 328974792963. Its totient is φ = 43741845828.

The previous prime is 138515845087. The next prime is 138515845129. The reversal of 138515845122 is 221548515831.

It is a happy number.

138515845122 is a `hidden beast` number, since 1 + 3 + 8 + 51 + 5 + 84 + 512 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69257922561 + 69257922561 = 263169^2 + 263169^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=263169.

Its product of digits (384000) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (138515845129) by changing a digit.

It is a polite number, since it can be written in 64 ways as a sum of consecutive naturals, for example, 7290307629 + ... + 7290307647.

Almost surely, 2138515845122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138515845122

138515845122 is an abundant number, since it is smaller than the sum of its proper divisors (190458947841).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138515845122 is an frugal number, since it uses more digits than its factorization.

138515845122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 24 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The spelling of 138515845122 in words is "one hundred thirty-eight billion, five hundred fifteen million, eight hundred forty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 729 1026 1083 1458 1539 2166 2187 3078 3249 4374 4617 6498 6561 6859 9234 9747 13122 13718 13851 19494 19683 20577 27702 29241 39366 41154 41553 58482 59049 61731 83106 87723 118098 123462 124659 130321 175446 177147 185193 249318 260642 263169 354294 370386 373977 390963 526338 531441 555579 747954 781926 789507 1062882 1111158 1121931 1172889 1579014 1666737 2243862 2345778 2368521 3333474 3365793 3518667 4737042 5000211 6731586 7037334 7105563 10000422 10097379 10556001 14211126 15000633 20194758 21112002 21316689 30001266 31668003 42633378 45001899 63336006 63950067 90003798 95004009 127900134 135005697 190008018 191850201 270011394 285012027 383700402 405017091 570024054 810034182 855036081 1215051273 1710072162 2430102546 2565108243 3645153819 5130216486 7290307638 7695324729 15390649458 23085974187 46171948374 69257922561 138515845122