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137573188831 = 13193120878609
BaseRepresentation
bin1000000000100000000…
…0000100010011011111
3111011002201020002200001
42000020000010103133
54223222214020311
6143111130515131
712640122545041
oct2001000042337
9434081202601
10137573188831
1153387529a81
12227b4b95aa7
13cc85b79960
1469311cda91
1538a2b514c1
hex20080044df

137573188831 has 32 divisors (see below), whose sum is σ = 161080012800. Its totient is φ = 116356746240.

The previous prime is 137573188829. The next prime is 137573188861. The reversal of 137573188831 is 138881375731.

It is a cyclic number.

It is not a de Polignac number, because 137573188831 - 21 = 137573188829 is a prime.

It is a super-2 number, since 2×1375731888312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137573188811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15975855 + ... + 15984463.

It is an arithmetic number, because the mean of its divisors is an integer number (5033750400).

Almost surely, 2137573188831 is an apocalyptic number.

137573188831 is a deficient number, since it is larger than the sum of its proper divisors (23506823969).

137573188831 is a wasteful number, since it uses less digits than its factorization.

137573188831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759.

The product of its digits is 3386880, while the sum is 55.

The spelling of 137573188831 in words is "one hundred thirty-seven billion, five hundred seventy-three million, one hundred eighty-eight thousand, eight hundred thirty-one".

Divisors: 1 13 19 31 247 403 589 2087 7657 8609 27131 39653 64697 111917 163571 266879 515489 841061 1229243 2126423 3469427 5070701 15980159 17966983 65919113 233570779 341372677 556976473 4437844801 7240694149 10582552987 137573188831