135194081400 has 768 divisors, whose sum is σ = 554764492800. Its totient is φ = 29611008000.

The previous prime is 135194081389. The next prime is 135194081419. The reversal of 135194081400 is 4180491531.

135194081400 is a `hidden beast` number, since 135 + 1 + 9 + 40 + 81 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 132412890 + ... + 132413910.

It is an arithmetic number, because the mean of its divisors is an integer number (722349600).

Almost surely, 2^135194081400 is an apocalyptic number.

135194081400 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 135194081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277382246400).

135194081400 is an abundant number, since it is smaller than the sum of its proper divisors (419570411400).

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

135194081400 is a wasteful number, since it uses less digits than its factorization.

135194081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 135194081400 in words is "one hundred thirty-five billion, one hundred ninety-four million, eighty-one thousand, four hundred".