135443136400 has 240 divisors, whose sum is σ = 382899117888. Its totient is φ = 45391104000.

The previous prime is 135443136343. The next prime is 135443136407. The reversal of 135443136400 is 4631344531.

It is not an unprimeable number, because it can be changed into a prime (135443136407) 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, 45586915 + ... + 45589885.

Almost surely, 2^135443136400 is an apocalyptic number.

135443136400 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 135443136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191449558944).

135443136400 is an abundant number, since it is smaller than the sum of its proper divisors (247455981488).

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

135443136400 is a wasteful number, since it uses less digits than its factorization.

135443136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 135443136400 in words is "one hundred thirty-five billion, four hundred forty-three million, one hundred thirty-six thousand, four hundred".