201016734137 has 8 divisors (see below), whose sum is σ = 201757413576. Its totient is φ = 200276163072.

The previous prime is 201016734133. The next prime is 201016734143. The reversal of 201016734137 is 731437610102.

It can be written as a sum of positive squares in 4 ways, for example, as 89490124201 + 111526609936 = 299149^2 + 333956^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201016734137 - 2² = 201016734133 is a prime.

It is a super-2 number, since 2×201016734137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201016734097 and 201016734106.

It is not an unprimeable number, because it can be changed into a prime (201016734133) 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 7 ways as a sum of consecutive naturals, for example, 7192763 + ... + 7220655.

It is an arithmetic number, because the mean of its divisors is an integer number (25219676697).

Almost surely, 2^201016734137 is an apocalyptic number.

It is an amenable number.

201016734137 is a deficient number, since it is larger than the sum of its proper divisors (740679439).

201016734137 is a wasteful number, since it uses less digits than its factorization.

201016734137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 201016734137 in words is "two hundred one billion, sixteen million, seven hundred thirty-four thousand, one hundred thirty-seven".