137669351820 has 768 divisors, whose sum is σ = 536725647360. Its totient is φ = 25447219200.

The previous prime is 137669351803. The next prime is 137669351837. The reversal of 137669351820 is 28153966731.

It is an interprime number because it is at equal distance from previous prime (137669351803) and next prime (137669351837).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 194173626 + ... + 194174334.

It is an arithmetic number, because the mean of its divisors is an integer number (698861520).

Almost surely, 2^137669351820 is an apocalyptic number.

137669351820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137669351820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268362823680).

137669351820 is an abundant number, since it is smaller than the sum of its proper divisors (399056295540).

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

137669351820 is a wasteful number, since it uses less digits than its factorization.

137669351820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 137669351820 in words is "one hundred thirty-seven billion, six hundred sixty-nine million, three hundred fifty-one thousand, eight hundred twenty".