137221761642 has 32 divisors (see below), whose sum is σ = 313667481984. Its totient is φ = 39204000000.

The previous prime is 137221761629. The next prime is 137221761647. The reversal of 137221761642 is 246167122731.

137221761642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137221761594 and 137221761603.

It is not an unprimeable number, because it can be changed into a prime (137221761647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749142 + ... + 914142.

It is an arithmetic number, because the mean of its divisors is an integer number (9802108812).

Almost surely, 2^137221761642 is an apocalyptic number.

137221761642 is an abundant number, since it is smaller than the sum of its proper divisors (176445720342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137221761642 is a wasteful number, since it uses less digits than its factorization.

137221761642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184814.

The product of its digits is 169344, while the sum is 42.

The spelling of 137221761642 in words is "one hundred thirty-seven billion, two hundred twenty-one million, seven hundred sixty-one thousand, six hundred forty-two".