137883953 has 2 divisors, whose sum is σ = 137883954. Its totient is φ = 137883952.

The previous prime is 137883901. The next prime is 137883961. The reversal of 137883953 is 359388731.

137883953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92294449 + 45589504 = 9607^2 + 6752^2 .

It is a cyclic number.

It is not a de Polignac number, because 137883953 - 2¹² = 137879857 is a prime.

It is equal to p_7799339 and since 137883953 and 7799339 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 137883898 and 137883907.

It is not a weakly prime, because it can be changed into another prime (137883983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68941976 + 68941977.

It is an arithmetic number, because the mean of its divisors is an integer number (68941977).

Almost surely, 2^137883953 is an apocalyptic number.

It is an amenable number.

137883953 is a deficient number, since it is larger than the sum of its proper divisors (1).

137883953 is an equidigital number, since it uses as much as digits as its factorization.

137883953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 47.

The square root of 137883953 is about 11742.3997973157. The cubic root of 137883953 is about 516.6200319106.

The spelling of 137883953 in words is "one hundred thirty-seven million, eight hundred eighty-three thousand, nine hundred fifty-three".