138837006990 has 256 divisors, whose sum is σ = 412065792000. Its totient is φ = 32979876480.

The previous prime is 138837006989. The next prime is 138837006991. The reversal of 138837006990 is 99600738831.

It is an interprime number because it is at equal distance from previous prime (138837006989) and next prime (138837006991).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (138837006991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62906467 + ... + 62908673.

It is an arithmetic number, because the mean of its divisors is an integer number (1609632000).

Almost surely, 2^138837006990 is an apocalyptic number.

138837006990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138837006990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206032896000).

138837006990 is an abundant number, since it is smaller than the sum of its proper divisors (273228785010).

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

138837006990 is a wasteful number, since it uses less digits than its factorization.

138837006990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 138837006990 in words is "one hundred thirty-eight billion, eight hundred thirty-seven million, six thousand, nine hundred ninety".