134828287104 has 384 divisors, whose sum is σ = 455378526720. Its totient is φ = 35084206080.

The previous prime is 134828287093. The next prime is 134828287183. The reversal of 134828287104 is 401782828431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9909234 + ... + 9922830.

It is an arithmetic number, because the mean of its divisors is an integer number (1185881580).

Almost surely, 2^134828287104 is an apocalyptic number.

134828287104 is a gapful number since it is divisible by the number (14) 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 134828287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227689263360).

134828287104 is an abundant number, since it is smaller than the sum of its proper divisors (320550239616).

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

134828287104 is a wasteful number, since it uses less digits than its factorization.

134828287104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 134828287104 in words is "one hundred thirty-four billion, eight hundred twenty-eight million, two hundred eighty-seven thousand, one hundred four".