2142133761637 has 8 divisors (see below), whose sum is σ = 2146030492760. Its totient is φ = 2138239918080.

The previous prime is 2142133761623. The next prime is 2142133761643. The reversal of 2142133761637 is 7361673312412.

It can be written as a sum of positive squares in 4 ways, for example, as 609772012641 + 1532361748996 = 780879^2 + 1237886^2 .

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 2142133761637 - 2²⁷ = 2141999543909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142133761037) 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, 765937 + ... + 2207017.

It is an arithmetic number, because the mean of its divisors is an integer number (268253811595).

Almost surely, 2^{2142133761637} is an apocalyptic number.

It is an amenable number.

2142133761637 is a deficient number, since it is larger than the sum of its proper divisors (3896731123).

2142133761637 is a wasteful number, since it uses less digits than its factorization.

2142133761637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443783.

The product of its digits is 762048, while the sum is 46.

The spelling of 2142133761637 in words is "two trillion, one hundred forty-two billion, one hundred thirty-three million, seven hundred sixty-one thousand, six hundred thirty-seven".