135194714732544 has 384 divisors, whose sum is σ = 380196981964800. Its totient is φ = 42638801469440.

The previous prime is 135194714732543. The next prime is 135194714732549. The reversal of 135194714732544 is 445237417491531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×135194714732544² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135194714732543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4831301977 + ... + 4831329959.

It is an arithmetic number, because the mean of its divisors is an integer number (990096307200).

Almost surely, 2^{135194714732544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135194714732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190098490982400).

135194714732544 is an abundant number, since it is smaller than the sum of its proper divisors (245002267232256).

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

135194714732544 is a wasteful number, since it uses less digits than its factorization.

135194714732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28401 (or 28381 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 135194714732544 in words is "one hundred thirty-five trillion, one hundred ninety-four billion, seven hundred fourteen million, seven hundred thirty-two thousand, five hundred forty-four".