137212101420 has 192 divisors, whose sum is σ = 423928995840. Its totient is φ = 33043507200.

The previous prime is 137212101407. The next prime is 137212101437. The reversal of 137212101420 is 24101212731.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714866 + ... + 1793094.

It is an arithmetic number, because the mean of its divisors is an integer number (2207963520).

Almost surely, 2^137212101420 is an apocalyptic number.

137212101420 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 137212101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211964497920).

137212101420 is an abundant number, since it is smaller than the sum of its proper divisors (286716894420).

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

137212101420 is a wasteful number, since it uses less digits than its factorization.

137212101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78336 (or 78334 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 137212101420 in words is "one hundred thirty-seven billion, two hundred twelve million, one hundred one thousand, four hundred twenty".