135238896000 has 1280 divisors, whose sum is σ = 566053488000. Its totient is φ = 31750963200.

The previous prime is 135238895983. The next prime is 135238896047. The reversal of 135238896000 is 698832531.

It is a happy number.

135238896000 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 38 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 387503826 + ... + 387504174.

Almost surely, 2^135238896000 is an apocalyptic number.

135238896000 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 135238896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283026744000).

135238896000 is an abundant number, since it is smaller than the sum of its proper divisors (430814592000).

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

135238896000 is a wasteful number, since it uses less digits than its factorization.

135238896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 135238896000 in words is "one hundred thirty-five billion, two hundred thirty-eight million, eight hundred ninety-six thousand".