137858153 has 2 divisors, whose sum is σ = 137858154. Its totient is φ = 137858152.

The previous prime is 137858111. The next prime is 137858179. The reversal of 137858153 is 351858731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109160704 + 28697449 = 10448^2 + 5357^2 .

It is a cyclic number.

It is not a de Polignac number, because 137858153 - 2⁸ = 137857897 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 137858153.

It is not a weakly prime, because it can be changed into another prime (137858453) 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, 68929076 + 68929077.

It is an arithmetic number, because the mean of its divisors is an integer number (68929077).

Almost surely, 2^137858153 is an apocalyptic number.

It is an amenable number.

137858153 is a deficient number, since it is larger than the sum of its proper divisors (1).

137858153 is an equidigital number, since it uses as much as digits as its factorization.

137858153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100800, while the sum is 41.

The square root of 137858153 is about 11741.3011629887. The cubic root of 137858153 is about 516.5878076429.

The spelling of 137858153 in words is "one hundred thirty-seven million, eight hundred fifty-eight thousand, one hundred fifty-three".