134151121353200 has 360 divisors, whose sum is σ = 375740104920048. Its totient is φ = 45893936578560.

The previous prime is 134151121353181. The next prime is 134151121353211. The reversal of 134151121353200 is 2353121151431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28707706064 + ... + 28707710736.

Almost surely, 2^{134151121353200} is an apocalyptic number.

134151121353200 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 134151121353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187870052460024).

134151121353200 is an abundant number, since it is smaller than the sum of its proper divisors (241588983566848).

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

134151121353200 is a wasteful number, since it uses less digits than its factorization.

134151121353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 134151121353200 in words is "one hundred thirty-four trillion, one hundred fifty-one billion, one hundred twenty-one million, three hundred fifty-three thousand, two hundred".