135514360800 has 1800 divisors, whose sum is σ = 630140902776. Its totient is φ = 28165294080.

The previous prime is 135514360789. The next prime is 135514360819. The reversal of 135514360800 is 8063415531.

135514360800 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 43 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 299 ways as a sum of consecutive naturals, for example, 2022602367 + ... + 2022602433.

Almost surely, 2^135514360800 is an apocalyptic number.

135514360800 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 135514360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315070451388).

135514360800 is an abundant number, since it is smaller than the sum of its proper divisors (494626541976).

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

135514360800 is an equidigital number, since it uses as much as digits as its factorization.

135514360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 135514360800 in words is "one hundred thirty-five billion, five hundred fourteen million, three hundred sixty thousand, eight hundred".