136191792000 has 768 divisors, whose sum is σ = 502831929600. Its totient is φ = 32581120000.

The previous prime is 136191791999. The next prime is 136191792001. The reversal of 136191792000 is 297191631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136191791999) and next prime (136191792001).

It is a self number, because there is not a number n which added to its sum of digits gives 136191792000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136191792001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 760847911 + ... + 760848089.

It is an arithmetic number, because the mean of its divisors is an integer number (654729075).

Almost surely, 2^136191792000 is an apocalyptic number.

136191792000 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 136191792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251415964800).

136191792000 is an abundant number, since it is smaller than the sum of its proper divisors (366640137600).

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

136191792000 is a wasteful number, since it uses less digits than its factorization.

136191792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 136191792000 in words is "one hundred thirty-six billion, one hundred ninety-one million, seven hundred ninety-two thousand".