135137026800 has 180 divisors, whose sum is σ = 469769281800. Its totient is φ = 35974586880.

The previous prime is 135137026781. The next prime is 135137026811. The reversal of 135137026800 is 8620731531.

135137026800 is a `hidden beast` number, since 13 + 513 + 70 + 2 + 68 + 0 + 0 = 666.

135137026800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2081226 + ... + 2145174.

Almost surely, 2^135137026800 is an apocalyptic number.

135137026800 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 135137026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234884640900).

135137026800 is an abundant number, since it is smaller than the sum of its proper divisors (334632255000).

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

135137026800 is a wasteful number, since it uses less digits than its factorization.

135137026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64560 (or 64546 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 135137026800 in words is "one hundred thirty-five billion, one hundred thirty-seven million, twenty-six thousand, eight hundred".