134679014400 has 528 divisors, whose sum is σ = 510823773440. Its totient is φ = 30656102400.

The previous prime is 134679014377. The next prime is 134679014411. The reversal of 134679014400 is 4410976431.

134679014400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203750070 + ... + 203750730.

Almost surely, 2^134679014400 is an apocalyptic number.

134679014400 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 134679014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255411886720).

134679014400 is an abundant number, since it is smaller than the sum of its proper divisors (376144759040).

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

134679014400 is a wasteful number, since it uses less digits than its factorization.

134679014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 134679014400 in words is "one hundred thirty-four billion, six hundred seventy-nine million, fourteen thousand, four hundred".