135894931200 has 1728 divisors, whose sum is σ = 615188403200. Its totient is φ = 29023764480.

The previous prime is 135894931169. The next prime is 135894931213. The reversal of 135894931200 is 2139498531.

It is a happy number.

135894931200 is a `hidden beast` number, since 1 + 3 + 589 + 49 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 1861574364 + ... + 1861574436.

Almost surely, 2^135894931200 is an apocalyptic number.

135894931200 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 135894931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307594201600).

135894931200 is an abundant number, since it is smaller than the sum of its proper divisors (479293472000).

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

135894931200 is an frugal number, since it uses more digits than its factorization.

135894931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 135894931200 in words is "one hundred thirty-five billion, eight hundred ninety-four million, nine hundred thirty-one thousand, two hundred".