137663866008 has 256 divisors, whose sum is σ = 412822080000. Its totient is φ = 42365514240.

The previous prime is 137663866003. The next prime is 137663866031. The reversal of 137663866008 is 800668366731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137663866003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146294818 + ... + 146295758.

It is an arithmetic number, because the mean of its divisors is an integer number (1612586250).

Almost surely, 2^137663866008 is an apocalyptic number.

137663866008 is a gapful number since it is divisible by the number (18) 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 137663866008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206411040000).

137663866008 is an abundant number, since it is smaller than the sum of its proper divisors (275158213992).

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

137663866008 is a wasteful number, since it uses less digits than its factorization.

137663866008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 137663866008 in words is "one hundred thirty-seven billion, six hundred sixty-three million, eight hundred sixty-six thousand, eight".