135741978198 has 128 divisors (see below), whose sum is σ = 322191360000. Its totient is φ = 42240592800.

The previous prime is 135741978173. The next prime is 135741978209. The reversal of 135741978198 is 891879147531.

135741978198 is a `hidden beast` number, since 1 + 3 + 57 + 419 + 7 + 81 + 98 = 666.

135741978198 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19672153 + ... + 19679051.

It is an arithmetic number, because the mean of its divisors is an integer number (2517120000).

Almost surely, 2^135741978198 is an apocalyptic number.

135741978198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135741978198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161095680000).

135741978198 is an abundant number, since it is smaller than the sum of its proper divisors (186449381802).

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

135741978198 is a wasteful number, since it uses less digits than its factorization.

135741978198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7201 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 63.

The spelling of 135741978198 in words is "one hundred thirty-five billion, seven hundred forty-one million, nine hundred seventy-eight thousand, one hundred ninety-eight".