136890103680 has 1024 divisors, whose sum is σ = 568002585600. Its totient is φ = 31173672960.

The previous prime is 136890103673. The next prime is 136890103723. The reversal of 136890103680 is 86301098631.

It is a happy number.

It is a super-2 number, since 2×136890103680² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261739899 + ... + 261740421.

It is an arithmetic number, because the mean of its divisors is an integer number (554690025).

Almost surely, 2^136890103680 is an apocalyptic number.

136890103680 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 136890103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284001292800).

136890103680 is an abundant number, since it is smaller than the sum of its proper divisors (431112481920).

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

136890103680 is an equidigital number, since it uses as much as digits as its factorization.

136890103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 136890103680 in words is "one hundred thirty-six billion, eight hundred ninety million, one hundred three thousand, six hundred eighty".