134645614640400 has 120 divisors (see below), whose sum is σ = 432849714711264. Its totient is φ = 35777719577600.

The previous prime is 134645614640387. The next prime is 134645614640419. The reversal of 134645614640400 is 4046416546431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134645614640400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199315254 + ... + 199989653.

Almost surely, 2^{134645614640400} is an apocalyptic number.

134645614640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134645614640400 is an abundant number, since it is smaller than the sum of its proper divisors (298204100070864).

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

134645614640400 is a wasteful number, since it uses less digits than its factorization.

134645614640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399305209 (or 399305198 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 134645614640400 in words is "one hundred thirty-four trillion, six hundred forty-five billion, six hundred fourteen million, six hundred forty thousand, four hundred".