135405311600 has 240 divisors, whose sum is σ = 362322247392. Its totient is φ = 48313774080.

The previous prime is 135405311597. The next prime is 135405311621. The reversal of 135405311600 is 6113504531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18461534 + ... + 18468866.

Almost surely, 2^135405311600 is an apocalyptic number.

135405311600 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 135405311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181161123696).

135405311600 is an abundant number, since it is smaller than the sum of its proper divisors (226916935792).

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

135405311600 is a wasteful number, since it uses less digits than its factorization.

135405311600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 135405311600 in words is "one hundred thirty-five billion, four hundred five million, three hundred eleven thousand, six hundred".