135374077812384 has 240 divisors, whose sum is σ = 401941264386816. Its totient is φ = 44693065267200.

The previous prime is 135374077812367. The next prime is 135374077812437. The reversal of 135374077812384 is 483218770473531.

It is a happy number.

135374077812384 is a `hidden beast` number, since 1 + 3 + 5 + 37 + 407 + 78 + 123 + 8 + 4 = 666.

It is a super-2 number, since 2×135374077812384² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1309289329 + ... + 1309392719.

Almost surely, 2^{135374077812384} 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 135374077812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200970632193408).

135374077812384 is an abundant number, since it is smaller than the sum of its proper divisors (266567186574432).

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

135374077812384 is a wasteful number, since it uses less digits than its factorization.

135374077812384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108241 (or 108224 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 135374077812384 in words is "one hundred thirty-five trillion, three hundred seventy-four billion, seventy-seven million, eight hundred twelve thousand, three hundred eighty-four".