135106876800 has 1536 divisors, whose sum is σ = 594961920000. Its totient is φ = 29912924160.

The previous prime is 135106876781. The next prime is 135106876829. The reversal of 135106876800 is 8678601531.

135106876800 is a `hidden beast` number, since 1 + 3 + 510 + 68 + 76 + 8 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 1392854352 + ... + 1392854448.

It is an arithmetic number, because the mean of its divisors is an integer number (387345000).

Almost surely, 2^135106876800 is an apocalyptic number.

135106876800 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 135106876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297480960000).

135106876800 is an abundant number, since it is smaller than the sum of its proper divisors (459855043200).

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

135106876800 is an equidigital number, since it uses as much as digits as its factorization.

135106876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135106876800 in words is "one hundred thirty-five billion, one hundred six million, eight hundred seventy-six thousand, eight hundred".