134329902336 has 756 divisors, whose sum is σ = 479185924896. Its totient is φ = 36794787840.

The previous prime is 134329902323. The next prime is 134329902349. The reversal of 134329902336 is 633209923431.

134329902336 is a `hidden beast` number, since 1 + 3 + 4 + 329 + 90 + 233 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (134329902323) and next prime (134329902349).

It is a tau number, because it is divible by the number of its divisors (756).

It is a junction number, because it is equal to n+sod(n) for n = 134329902291 and 134329902300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1255419595 + ... + 1255419701.

It is an arithmetic number, because the mean of its divisors is an integer number (633843816).

Almost surely, 2^134329902336 is an apocalyptic number.

134329902336 is a gapful number since it is divisible by the number (16) 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 134329902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239592962448).

134329902336 is an abundant number, since it is smaller than the sum of its proper divisors (344856022560).

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

134329902336 is an frugal number, since it uses more digits than its factorization.

134329902336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 134329902336 in words is "one hundred thirty-four billion, three hundred twenty-nine million, nine hundred two thousand, three hundred thirty-six".