135333672000 has 224 divisors, whose sum is σ = 447282051840. Its totient is φ = 36055859200.

The previous prime is 135333671999. The next prime is 135333672049. The reversal of 135333672000 is 276333531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37414192 + ... + 37417808.

Almost surely, 2^135333672000 is an apocalyptic number.

135333672000 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 135333672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223641025920).

135333672000 is an abundant number, since it is smaller than the sum of its proper divisors (311948379840).

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

135333672000 is a wasteful number, since it uses less digits than its factorization.

135333672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The spelling of 135333672000 in words is "one hundred thirty-five billion, three hundred thirty-three million, six hundred seventy-two thousand".