136494164800 has 504 divisors, whose sum is σ = 403096012704. Its totient is φ = 45337743360.

The previous prime is 136494164791. The next prime is 136494164803. The reversal of 136494164800 is 8461494631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136494164803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444606247 + ... + 444606553.

It is an arithmetic number, because the mean of its divisors is an integer number (799793676).

Almost surely, 2^136494164800 is an apocalyptic number.

136494164800 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 136494164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201548006352).

136494164800 is an abundant number, since it is smaller than the sum of its proper divisors (266601847904).

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

136494164800 is a wasteful number, since it uses less digits than its factorization.

136494164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 136494164800 in words is "one hundred thirty-six billion, four hundred ninety-four million, one hundred sixty-four thousand, eight hundred".