137221761672 has 48 divisors (see below), whose sum is σ = 371660131440. Its totient is φ = 45738389088.

The previous prime is 137221761647. The next prime is 137221761701. The reversal of 137221761672 is 276167122731.

137221761672 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 21 + 7 + 616 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2271523 + ... + 2331149.

It is an arithmetic number, because the mean of its divisors is an integer number (7742919405).

Almost surely, 2^137221761672 is an apocalyptic number.

137221761672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137221761672 is an abundant number, since it is smaller than the sum of its proper divisors (234438369768).

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

137221761672 is a wasteful number, since it uses less digits than its factorization.

137221761672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91602 (or 91595 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 137221761672 in words is "one hundred thirty-seven billion, two hundred twenty-one million, seven hundred sixty-one thousand, six hundred seventy-two".