134828271000 has 384 divisors, whose sum is σ = 464038848000. Its totient is φ = 35303558400.

The previous prime is 134828270989. The next prime is 134828271001. The reversal of 134828271000 is 172828431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134828271001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148652547 + ... + 148653453.

It is an arithmetic number, because the mean of its divisors is an integer number (1208434500).

Almost surely, 2^134828271000 is an apocalyptic number.

134828271000 is a gapful number since it is divisible by the number (10) 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 134828271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232019424000).

134828271000 is an abundant number, since it is smaller than the sum of its proper divisors (329210577000).

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

134828271000 is a wasteful number, since it uses less digits than its factorization.

134828271000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 134828271000 in words is "one hundred thirty-four billion, eight hundred twenty-eight million, two hundred seventy-one thousand".