135042435353200 has 120 divisors (see below), whose sum is σ = 331999538669568. Its totient is φ = 52758384080640.

The previous prime is 135042435353197. The next prime is 135042435353233. The reversal of 135042435353200 is 2353534240531.

It is a super-2 number, since 2×135042435353200² (a number of 29 digits) contains 22 as substring.

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

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, 408283089 + ... + 408613711.

Almost surely, 2^{135042435353200} is an apocalyptic number.

135042435353200 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 135042435353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165999769334784).

135042435353200 is an abundant number, since it is smaller than the sum of its proper divisors (196957103316368).

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

135042435353200 is a wasteful number, since it uses less digits than its factorization.

135042435353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354431 (or 354420 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 135042435353200 its reverse (2353534240531), we get a palindrome (137395969593731).

The spelling of 135042435353200 in words is "one hundred thirty-five trillion, forty-two billion, four hundred thirty-five million, three hundred fifty-three thousand, two hundred".