137579153 has 2 divisors, whose sum is σ = 137579154. Its totient is φ = 137579152.

The previous prime is 137579131. The next prime is 137579179. The reversal of 137579153 is 351975731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135652609 + 1926544 = 11647^2 + 1388^2 .

It is a cyclic number.

It is not a de Polignac number, because 137579153 - 2⁶ = 137579089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137579153.

It is not a weakly prime, because it can be changed into another prime (137573153) 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, 68789576 + 68789577.

It is an arithmetic number, because the mean of its divisors is an integer number (68789577).

Almost surely, 2^137579153 is an apocalyptic number.

It is an amenable number.

137579153 is a deficient number, since it is larger than the sum of its proper divisors (1).

137579153 is an equidigital number, since it uses as much as digits as its factorization.

137579153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 99225, while the sum is 41.

The square root of 137579153 is about 11729.4140092334. The cubic root of 137579153 is about 516.2390788122.

The spelling of 137579153 in words is "one hundred thirty-seven million, five hundred seventy-nine thousand, one hundred fifty-three".