136889100000 has 864 divisors, whose sum is σ = 538969878720. Its totient is φ = 32778240000.

The previous prime is 136889099999. The next prime is 136889100001. The reversal of 136889100000 is 1988631.

It is an interprime number because it is at equal distance from previous prime (136889099999) and next prime (136889100001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136889100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351899806 + ... + 351900194.

It is an arithmetic number, because the mean of its divisors is an integer number (623807730).

Almost surely, 2^136889100000 is an apocalyptic number.

136889100000 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 136889100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269484939360).

136889100000 is an abundant number, since it is smaller than the sum of its proper divisors (402080778720).

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

136889100000 is a wasteful number, since it uses less digits than its factorization.

136889100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 136889100000 in words is "one hundred thirty-six billion, eight hundred eighty-nine million, one hundred thousand".