137125523745541 has 16 divisors (see below), whose sum is σ = 138811096977840. Its totient is φ = 135445522268160.

The previous prime is 137125523745527. The next prime is 137125523745643. The reversal of 137125523745541 is 145547325521731.

It can be written as a sum of positive squares in 8 ways, for example, as 14153614612641 + 122971909132900 = 3762129^2 + 11089270^2 .

It is a cyclic number.

It is not a de Polignac number, because 137125523745541 - 2¹⁵ = 137125523712773 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 (137125523715541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603445715 + ... + 1603531231.

It is an arithmetic number, because the mean of its divisors is an integer number (8675693561115).

Almost surely, 2^{137125523745541} is an apocalyptic number.

It is an amenable number.

137125523745541 is a deficient number, since it is larger than the sum of its proper divisors (1685573232299).

137125523745541 is an equidigital number, since it uses as much as digits as its factorization.

137125523745541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117864.

The product of its digits is 17640000, while the sum is 55.

The spelling of 137125523745541 in words is "one hundred thirty-seven trillion, one hundred twenty-five billion, five hundred twenty-three million, seven hundred forty-five thousand, five hundred forty-one".