135418254192 has 320 divisors, whose sum is σ = 431913605760. Its totient is φ = 40352587776.

The previous prime is 135418254187. The next prime is 135418254193. The reversal of 135418254192 is 291452814531.

135418254192 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 18 + 2 + 541 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135418254193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48414138 + ... + 48416934.

It is an arithmetic number, because the mean of its divisors is an integer number (1349730018).

Almost surely, 2^135418254192 is an apocalyptic number.

135418254192 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 135418254192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215956802880).

135418254192 is an abundant number, since it is smaller than the sum of its proper divisors (296495351568).

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

135418254192 is a wasteful number, since it uses less digits than its factorization.

135418254192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3085 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 135418254192 in words is "one hundred thirty-five billion, four hundred eighteen million, two hundred fifty-four thousand, one hundred ninety-two".