73153673157137 has 8 divisors (see below), whose sum is σ = 73258233661800. Its totient is φ = 73049168172544.

The previous prime is 73153673157113. The next prime is 73153673157143. The reversal of 73153673157137 is 73175137635137.

It can be written as a sum of positive squares in 4 ways, for example, as 265262081296 + 72888411075841 = 515036^2 + 8537471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73153673157137 - 2⁶ = 73153673157073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73153673157107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11242562 + ... + 16513707.

It is an arithmetic number, because the mean of its divisors is an integer number (9157279207725).

Almost surely, 2^{73153673157137} is an apocalyptic number.

It is an amenable number.

73153673157137 is a deficient number, since it is larger than the sum of its proper divisors (104560504663).

73153673157137 is a wasteful number, since it uses less digits than its factorization.

73153673157137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27760035.

The product of its digits is 29172150, while the sum is 59.

The spelling of 73153673157137 in words is "seventy-three trillion, one hundred fifty-three billion, six hundred seventy-three million, one hundred fifty-seven thousand, one hundred thirty-seven".