135238344192 has 540 divisors, whose sum is σ = 472072794336. Its totient is φ = 37124075520.

The previous prime is 135238344187. The next prime is 135238344193. The reversal of 135238344192 is 291443832531.

It is a happy number.

135238344192 is a `hidden beast` number, since 1 + 3 + 523 + 8 + 34 + 4 + 1 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135238344193) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 972937659 + ... + 972937797.

Almost surely, 2^135238344192 is an apocalyptic number.

135238344192 is a gapful number since it is divisible by the number (12) 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 135238344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236036397168).

135238344192 is an abundant number, since it is smaller than the sum of its proper divisors (336834450144).

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

135238344192 is an equidigital number, since it uses as much as digits as its factorization.

135238344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 182 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 135238344192 in words is "one hundred thirty-five billion, two hundred thirty-eight million, three hundred forty-four thousand, one hundred ninety-two".