136775760000 has 640 divisors, whose sum is σ = 501067607040. Its totient is φ = 32770560000.

The previous prime is 136775759987. The next prime is 136775760013. The reversal of 136775760000 is 67577631.

It is an interprime number because it is at equal distance from previous prime (136775759987) and next prime (136775760013).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271919749 + ... + 271920251.

It is an arithmetic number, because the mean of its divisors is an integer number (782918136).

Almost surely, 2^136775760000 is an apocalyptic number.

136775760000 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 136775760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250533803520).

136775760000 is an abundant number, since it is smaller than the sum of its proper divisors (364291847040).

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

136775760000 is a wasteful number, since it uses less digits than its factorization.

136775760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 136775760000 in words is "one hundred thirty-six billion, seven hundred seventy-five million, seven hundred sixty thousand".