437000772132145 has 32 divisors (see below), whose sum is σ = 568371607483680. Its totient is φ = 320633003059200.

The previous prime is 437000772132131. The next prime is 437000772132161. The reversal of 437000772132145 is 541231277000734.

It can be written as a sum of positive squares in 16 ways, for example, as 55363956964416 + 381636815167729 = 7440696^2 + 19535527^2 .

It is a de Polignac number, because none of the positive numbers 2^k-437000772132145 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 437000772132095 and 437000772132104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165038221 + ... + 167665189.

It is an arithmetic number, because the mean of its divisors is an integer number (17761612733865).

Almost surely, 2^{437000772132145} is an apocalyptic number.

It is an amenable number.

437000772132145 is a deficient number, since it is larger than the sum of its proper divisors (131370835351535).

437000772132145 is a wasteful number, since it uses less digits than its factorization.

437000772132145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643445.

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 437000772132145 in words is "four hundred thirty-seven trillion, seven hundred seventy-two million, one hundred thirty-two thousand, one hundred forty-five".