136334016000 has 2400 divisors, whose sum is σ = 663960128832. Its totient is φ = 27072921600.

The previous prime is 136334015989. The next prime is 136334016029. The reversal of 136334016000 is 610433631.

136334016000 is a `hidden beast` number, since 13 + 6 + 3 + 3 + 40 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8019647992 + ... + 8019648008.

Almost surely, 2^136334016000 is an apocalyptic number.

136334016000 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 136334016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331980064416).

136334016000 is an abundant number, since it is smaller than the sum of its proper divisors (527626112832).

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

136334016000 is an equidigital number, since it uses as much as digits as its factorization.

136334016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 136334016000 its reverse (610433631), we get a palindrome (136944449631).

The spelling of 136334016000 in words is "one hundred thirty-six billion, three hundred thirty-four million, sixteen thousand".