134564903366400 has 3888 divisors, whose sum is σ = 567961184324352. Its totient is φ = 30173036544000.

The previous prime is 134564903366389. The next prime is 134564903366441. The reversal of 134564903366400 is 4663309465431.

134564903366400 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 64 + 90 + 33 + 66 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1190839852744 + ... + 1190839852856.

Almost surely, 2^{134564903366400} is an apocalyptic number.

134564903366400 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 134564903366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283980592162176).

134564903366400 is an abundant number, since it is smaller than the sum of its proper divisors (433396280957952).

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

134564903366400 is a wasteful number, since it uses less digits than its factorization.

134564903366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 134564903366400 in words is "one hundred thirty-four trillion, five hundred sixty-four billion, nine hundred three million, three hundred sixty-six thousand, four hundred".