134778870277128 has 896 divisors, whose sum is σ = 480064033751040. Its totient is φ = 34730070883200.

The previous prime is 134778870277067. The next prime is 134778870277153. The reversal of 134778870277128 is 821772078877431.

134778870277128 is a `hidden beast` number, since 1 + 3 + 477 + 8 + 8 + 7 + 0 + 27 + 7 + 128 = 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 223 ways as a sum of consecutive naturals, for example, 6900756723 + ... + 6900776253.

Almost surely, 2^{134778870277128} is an apocalyptic number.

134778870277128 is a gapful number since it is divisible by the number (18) 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 134778870277128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240032016875520).

134778870277128 is an abundant number, since it is smaller than the sum of its proper divisors (345285163473912).

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

134778870277128 is a wasteful number, since it uses less digits than its factorization.

134778870277128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 413048832, while the sum is 72.

The spelling of 134778870277128 in words is "one hundred thirty-four trillion, seven hundred seventy-eight billion, eight hundred seventy million, two hundred seventy-seven thousand, one hundred twenty-eight".