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138083500157 = 6164116972081
BaseRepresentation
bin1000000010011001101…
…0110000000001111101
3111012102021110121012112
42000212122300001331
54230243334001112
6143233520343405
712655560246131
oct2004632600175
9435367417175
10138083500157
1153619599479
1222917a74b65
1310037802215
14697ccab3c1
1538d2854a22
hex20266b007d

138083500157 has 16 divisors (see below), whose sum is σ = 140716533744. Its totient is φ = 135462912000.

The previous prime is 138083500151. The next prime is 138083500171. The reversal of 138083500157 is 751005380831.

It can be written as a sum of positive squares in 8 ways, for example, as 3783972196 + 134299527961 = 61514^2 + 366469^2 .

It is a cyclic number.

It is not a de Polignac number, because 138083500157 - 232 = 133788532861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138083500151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66353357 + ... + 66355437.

It is an arithmetic number, because the mean of its divisors is an integer number (8794783359).

Almost surely, 2138083500157 is an apocalyptic number.

It is an amenable number.

138083500157 is a deficient number, since it is larger than the sum of its proper divisors (2633033587).

138083500157 is a wasteful number, since it uses less digits than its factorization.

138083500157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480.

The product of its (nonzero) digits is 100800, while the sum is 41.

Adding to 138083500157 its reverse (751005380831), we get a palindrome (889088880988).

The spelling of 138083500157 in words is "one hundred thirty-eight billion, eighty-three million, five hundred thousand, one hundred fifty-seven".

Divisors: 1 61 641 1697 2081 39101 103517 126941 1087777 1333921 3531457 66354397 81369181 215418877 2263663937 138083500157