134348351155200 has 7920 divisors, whose sum is σ = 684686888734464. Its totient is φ = 25684239974400.

The previous prime is 134348351155157. The next prime is 134348351155243. The reversal of 134348351155200 is 2551153843431.

134348351155200 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 8 + 3 + 5 + 115 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134348351155157) and next prime (134348351155243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 696105446304 + ... + 696105446496.

Almost surely, 2^{134348351155200} is an apocalyptic number.

134348351155200 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 134348351155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342343444367232).

134348351155200 is an abundant number, since it is smaller than the sum of its proper divisors (550338537579264).

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

134348351155200 is a wasteful number, since it uses less digits than its factorization.

134348351155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 134348351155200 in words is "one hundred thirty-four trillion, three hundred forty-eight billion, three hundred fifty-one million, one hundred fifty-five thousand, two hundred".