135932245627200 has 672 divisors, whose sum is σ = 490394776058880. Its totient is φ = 32690995200000.

The previous prime is 135932245627183. The next prime is 135932245627223. The reversal of 135932245627200 is 2726542239531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6131072115 + ... + 6131094285.

It is an arithmetic number, because the mean of its divisors is an integer number (729754131040).

Almost surely, 2^{135932245627200} is an apocalyptic number.

135932245627200 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 135932245627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245197388029440).

135932245627200 is an abundant number, since it is smaller than the sum of its proper divisors (354462530431680).

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

135932245627200 is a wasteful number, since it uses less digits than its factorization.

135932245627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23127 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 135932245627200 in words is "one hundred thirty-five trillion, nine hundred thirty-two billion, two hundred forty-five million, six hundred twenty-seven thousand, two hundred".