136819138560 has 448 divisors, whose sum is σ = 483201512640. Its totient is φ = 32841400320.

The previous prime is 136819138549. The next prime is 136819138571. The reversal of 136819138560 is 65831918631.

It is an interprime number because it is at equal distance from previous prime (136819138549) and next prime (136819138571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65493996 + ... + 65496084.

It is an arithmetic number, because the mean of its divisors is an integer number (1078574805).

Almost surely, 2^136819138560 is an apocalyptic number.

136819138560 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 136819138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241600756320).

136819138560 is an abundant number, since it is smaller than the sum of its proper divisors (346382374080).

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

136819138560 is a wasteful number, since it uses less digits than its factorization.

136819138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 136819138560 in words is "one hundred thirty-six billion, eight hundred nineteen million, one hundred thirty-eight thousand, five hundred sixty".