138152381 has 2 divisors, whose sum is σ = 138152382. Its totient is φ = 138152380.

The previous prime is 138152369. The next prime is 138152383. The reversal of 138152381 is 183251831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135932281 + 2220100 = 11659^2 + 1490^2 .

It is a cyclic number.

It is not a de Polignac number, because 138152381 - 2¹⁰ = 138151357 is a prime.

It is a super-2 number, since 2×138152381² = 38172160751938322, which contains 22 as substring.

Together with 138152383, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_7813607 and since 138152381 and 7813607 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138152383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69076190 + 69076191.

It is an arithmetic number, because the mean of its divisors is an integer number (69076191).

Almost surely, 2^138152381 is an apocalyptic number.

It is an amenable number.

138152381 is a deficient number, since it is larger than the sum of its proper divisors (1).

138152381 is an equidigital number, since it uses as much as digits as its factorization.

138152381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 32.

The square root of 138152381 is about 11753.8241011170. The cubic root of 138152381 is about 516.9550609613.

The spelling of 138152381 in words is "one hundred thirty-eight million, one hundred fifty-two thousand, three hundred eighty-one".