137163083640 has 256 divisors, whose sum is σ = 454148259840. Its totient is φ = 32864832000.

The previous prime is 137163083639. The next prime is 137163083773. The reversal of 137163083640 is 46380361731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137163083592 and 137163083601.

It is a congruent number.

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, 46859857 + ... + 46862783.

It is an arithmetic number, because the mean of its divisors is an integer number (1774016640).

Almost surely, 2^137163083640 is an apocalyptic number.

137163083640 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 137163083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227074129920).

137163083640 is an abundant number, since it is smaller than the sum of its proper divisors (316985176200).

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

137163083640 is a wasteful number, since it uses less digits than its factorization.

137163083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 137163083640 in words is "one hundred thirty-seven billion, one hundred sixty-three million, eighty-three thousand, six hundred forty".