73142120337 has 16 divisors (see below), whose sum is σ = 114572273088. Its totient is φ = 40918668480.

The previous prime is 73142120329. The next prime is 73142120357. The reversal of 73142120337 is 73302124137.

It is not a de Polignac number, because 73142120337 - 2³ = 73142120329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73142120298 and 73142120307.

It is not an unprimeable number, because it can be changed into a prime (73142120357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85246798 + ... + 85247655.

It is an arithmetic number, because the mean of its divisors is an integer number (7160767068).

Almost surely, 2^73142120337 is an apocalyptic number.

It is an amenable number.

73142120337 is a deficient number, since it is larger than the sum of its proper divisors (41430152751).

73142120337 is a wasteful number, since it uses less digits than its factorization.

73142120337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170494480.

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 73142120337 in words is "seventy-three billion, one hundred forty-two million, one hundred twenty thousand, three hundred thirty-seven".