134810833248 has 768 divisors, whose sum is σ = 509820272640. Its totient is φ = 33683392512.

The previous prime is 134810833237. The next prime is 134810833249. The reversal of 134810833248 is 842338018431.

It is a super-2 number, since 2×134810833248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134810833249) 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 127 ways as a sum of consecutive naturals, for example, 229660411 + ... + 229660997.

It is an arithmetic number, because the mean of its divisors is an integer number (663828480).

Almost surely, 2^134810833248 is an apocalyptic number.

134810833248 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 134810833248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254910136320).

134810833248 is an abundant number, since it is smaller than the sum of its proper divisors (375009439392).

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

134810833248 is a wasteful number, since it uses less digits than its factorization.

134810833248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 134810833248 in words is "one hundred thirty-four billion, eight hundred ten million, eight hundred thirty-three thousand, two hundred forty-eight".