137568108153 has 16 divisors (see below), whose sum is σ = 209651613696. Its totient is φ = 78601339920.

The previous prime is 137568108133. The next prime is 137568108157. The reversal of 137568108153 is 351801865731.

137568108153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137568108153 - 2⁵ = 137568108121 is a prime.

It is a super-3 number, since 3×137568108153³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137568108157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185451 + ... + 556352.

It is an arithmetic number, because the mean of its divisors is an integer number (13103225856).

Almost surely, 2^137568108153 is an apocalyptic number.

It is an amenable number.

137568108153 is a deficient number, since it is larger than the sum of its proper divisors (72083505543).

137568108153 is an equidigital number, since it uses as much as digits as its factorization.

137568108153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750644.

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 137568108153 in words is "one hundred thirty-seven billion, five hundred sixty-eight million, one hundred eight thousand, one hundred fifty-three".