135932723200 has 360 divisors, whose sum is σ = 360413932032. Its totient is φ = 50736660480.

The previous prime is 135932723167. The next prime is 135932723209. The reversal of 135932723200 is 2327239531.

It is a self number, because there is not a number n which added to its sum of digits gives 135932723200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135932723209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442777447 + ... + 442777753.

Almost surely, 2^135932723200 is an apocalyptic number.

135932723200 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 135932723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180206966016).

135932723200 is an abundant number, since it is smaller than the sum of its proper divisors (224481208832).

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

135932723200 is an equidigital number, since it uses as much as digits as its factorization.

135932723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 135932723200 in words is "one hundred thirty-five billion, nine hundred thirty-two million, seven hundred twenty-three thousand, two hundred".