135900089107200 has 5184 divisors, whose sum is σ = 620343495475200. Its totient is φ = 28724038041600.

The previous prime is 135900089107117. The next prime is 135900089107201. The reversal of 135900089107200 is 2701980009531.

135900089107200 is a `hidden beast` number, since 1 + 359 + 0 + 0 + 0 + 8 + 91 + 0 + 7 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135900089107201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2303391340771 + ... + 2303391340829.

Almost surely, 2^{135900089107200} is an apocalyptic number.

135900089107200 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 135900089107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310171747737600).

135900089107200 is an abundant number, since it is smaller than the sum of its proper divisors (484443406368000).

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

135900089107200 is a wasteful number, since it uses less digits than its factorization.

135900089107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 135900089107200 in words is "one hundred thirty-five trillion, nine hundred billion, eighty-nine million, one hundred seven thousand, two hundred".