138980902500 has 540 divisors, whose sum is σ = 490014645120. Its totient is φ = 33171600000.

The previous prime is 138980902481. The next prime is 138980902507. The reversal of 138980902500 is 5209089831.

It is a happy number.

138980902500 is a `hidden beast` number, since 138 + 9 + 8 + 0 + 9 + 0 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138980902507) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 193297141 + ... + 193297859.

It is an arithmetic number, because the mean of its divisors is an integer number (907434528).

Almost surely, 2^138980902500 is an apocalyptic number.

138980902500 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 138980902500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245007322560).

138980902500 is an abundant number, since it is smaller than the sum of its proper divisors (351033742620).

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

138980902500 is a wasteful number, since it uses less digits than its factorization.

138980902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 138980902500 in words is "one hundred thirty-eight billion, nine hundred eighty million, nine hundred two thousand, five hundred".