136790016000 has 864 divisors, whose sum is σ = 522138524544. Its totient is φ = 31719424000.

The previous prime is 136790015981. The next prime is 136790016007. The reversal of 136790016000 is 610097631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (136790016007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5947391989 + ... + 5947392011.

It is an arithmetic number, because the mean of its divisors is an integer number (604326996).

Almost surely, 2^136790016000 is an apocalyptic number.

136790016000 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 136790016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261069262272).

136790016000 is an abundant number, since it is smaller than the sum of its proper divisors (385348508544).

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

136790016000 is an frugal number, since it uses more digits than its factorization.

136790016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 136790016000 in words is "one hundred thirty-six billion, seven hundred ninety million, sixteen thousand".