137553029 has 2 divisors, whose sum is σ = 137553030. Its totient is φ = 137553028.

The previous prime is 137553023. The next prime is 137553047. The reversal of 137553029 is 920355731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136936804 + 616225 = 11702^2 + 785^2 .

It is a cyclic number.

It is not a de Polignac number, because 137553029 - 2¹² = 137548933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137553029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137553023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68776514 + 68776515.

It is an arithmetic number, because the mean of its divisors is an integer number (68776515).

Almost surely, 2^137553029 is an apocalyptic number.

It is an amenable number.

137553029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137553029 is an equidigital number, since it uses as much as digits as its factorization.

137553029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 137553029 is about 11728.3003457449. The cubic root of 137553029 is about 516.2064016634.

The spelling of 137553029 in words is "one hundred thirty-seven million, five hundred fifty-three thousand, twenty-nine".