135215224553200 has 240 divisors, whose sum is σ = 365886250924032. Its totient is φ = 47574276480000.

The previous prime is 135215224553197. The next prime is 135215224553207. The reversal of 135215224553200 is 2355422512531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135215224553207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761159589 + ... + 761337211.

Almost surely, 2^{135215224553200} is an apocalyptic number.

135215224553200 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 135215224553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182943125462016).

135215224553200 is an abundant number, since it is smaller than the sum of its proper divisors (230671026370832).

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

135215224553200 is a wasteful number, since it uses less digits than its factorization.

135215224553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183264 (or 183253 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 135215224553200 in words is "one hundred thirty-five trillion, two hundred fifteen billion, two hundred twenty-four million, five hundred fifty-three thousand, two hundred".