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137181557 is a prime number
BaseRepresentation
bin10000010110100…
…11100101110101
3100120010112201102
420023103211311
5240104302212
621340135445
73254011142
oct1013234565
9316115642
10137181557
1170487597
1239b37585
1322561526
141430d3c9
15c09b5c2
hex82d3975

137181557 has 2 divisors, whose sum is σ = 137181558. Its totient is φ = 137181556.

The previous prime is 137181553. The next prime is 137181581. The reversal of 137181557 is 755181731.

137181557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120868036 + 16313521 = 10994^2 + 4039^2 .

It is a cyclic number.

It is not a de Polignac number, because 137181557 - 22 = 137181553 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137181557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137181553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68590778 + 68590779.

It is an arithmetic number, because the mean of its divisors is an integer number (68590779).

Almost surely, 2137181557 is an apocalyptic number.

It is an amenable number.

137181557 is a deficient number, since it is larger than the sum of its proper divisors (1).

137181557 is an equidigital number, since it uses as much as digits as its factorization.

137181557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29400, while the sum is 38.

The square root of 137181557 is about 11712.4530735453. The cubic root of 137181557 is about 515.7412983683.

It can be divided in two parts, 1371 and 81557, that added together give a palindrome (82928).

The spelling of 137181557 in words is "one hundred thirty-seven million, one hundred eighty-one thousand, five hundred fifty-seven".