137850101 has 2 divisors, whose sum is σ = 137850102. Its totient is φ = 137850100.

The previous prime is 137850091. The next prime is 137850113. The reversal of 137850101 is 101058731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137710225 + 139876 = 11735^2 + 374^2 .

It is an emirp because it is prime and its reverse (101058731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137850101 is a prime.

It is a super-4 number, since 4×137850101⁴ (a number of 34 digits) contains 4444 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137850151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68925050 + 68925051.

It is an arithmetic number, because the mean of its divisors is an integer number (68925051).

Almost surely, 2^137850101 is an apocalyptic number.

It is an amenable number.

137850101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137850101 is an equidigital number, since it uses as much as digits as its factorization.

137850101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 137850101 is about 11740.9582658316. The cubic root of 137850101 is about 516.5777498506.

The spelling of 137850101 in words is "one hundred thirty-seven million, eight hundred fifty thousand, one hundred one".