135273532400 has 120 divisors (see below), whose sum is σ = 348555391920. Its totient is φ = 50294200320.

The previous prime is 135273532393. The next prime is 135273532411. The reversal of 135273532400 is 4235372531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234884 + ... + 570716.

It is an arithmetic number, because the mean of its divisors is an integer number (2904628266).

Almost surely, 2^135273532400 is an apocalyptic number.

135273532400 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 135273532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174277695960).

135273532400 is an abundant number, since it is smaller than the sum of its proper divisors (213281859520).

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

135273532400 is a wasteful number, since it uses less digits than its factorization.

135273532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335923 (or 335912 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 135273532400 in words is "one hundred thirty-five billion, two hundred seventy-three million, five hundred thirty-two thousand, four hundred".