134320554414400 has 168 divisors, whose sum is σ = 350710300782720. Its totient is φ = 50458515824640.

The previous prime is 134320554414377. The next prime is 134320554414421. The reversal of 134320554414400 is 4414455023431.

It is a super-2 number, since 2×134320554414400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7260711 + ... + 17926489.

Almost surely, 2^{134320554414400} is an apocalyptic number.

134320554414400 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 134320554414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175355150391360).

134320554414400 is an abundant number, since it is smaller than the sum of its proper divisors (216389746368320).

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

134320554414400 is a wasteful number, since it uses less digits than its factorization.

134320554414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666281 (or 10666266 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 134320554414400 in words is "one hundred thirty-four trillion, three hundred twenty billion, five hundred fifty-four million, four hundred fourteen thousand, four hundred".