137200416377 has 2 divisors, whose sum is σ = 137200416378. Its totient is φ = 137200416376.

The previous prime is 137200416371. The next prime is 137200416547. The reversal of 137200416377 is 773614002731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134585525881 + 2614890496 = 366859^2 + 51136^2 .

It is a cyclic number.

It is not a de Polignac number, because 137200416377 - 2¹⁰ = 137200415353 is a prime.

It is a super-2 number, since 2×137200416377² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137200416371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68600208188 + 68600208189.

It is an arithmetic number, because the mean of its divisors is an integer number (68600208189).

Almost surely, 2^137200416377 is an apocalyptic number.

It is an amenable number.

137200416377 is a deficient number, since it is larger than the sum of its proper divisors (1).

137200416377 is an equidigital number, since it uses as much as digits as its factorization.

137200416377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 137200416377 in words is "one hundred thirty-seven billion, two hundred million, four hundred sixteen thousand, three hundred seventy-seven".