135144949395456 has 3120 divisors, whose sum is σ = 561366507306528. Its totient is φ = 31837755801600.

The previous prime is 135144949395427. The next prime is 135144949395497. The reversal of 135144949395456 is 654593949441531.

135144949395456 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 4 + 9 + 49 + 39 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141810019876 + ... + 141810020828.

Almost surely, 2^{135144949395456} is an apocalyptic number.

135144949395456 is a gapful number since it is divisible by the number (16) 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 135144949395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280683253653264).

135144949395456 is an abundant number, since it is smaller than the sum of its proper divisors (426221557911072).

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

135144949395456 is a wasteful number, since it uses less digits than its factorization.

135144949395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1050 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 135144949395456 in words is "one hundred thirty-five trillion, one hundred forty-four billion, nine hundred forty-nine million, three hundred ninety-five thousand, four hundred fifty-six".