136752864000 has 288 divisors, whose sum is σ = 469897122240. Its totient is φ = 35209216000.

The previous prime is 136752863999. The next prime is 136752864007. The reversal of 136752864000 is 468257631.

It is not an unprimeable number, because it can be changed into a prime (136752864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2759440 + ... + 2808560.

It is an arithmetic number, because the mean of its divisors is an integer number (1631587230).

Almost surely, 2^136752864000 is an apocalyptic number.

136752864000 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 136752864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234948561120).

136752864000 is an abundant number, since it is smaller than the sum of its proper divisors (333144258240).

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

136752864000 is an equidigital number, since it uses as much as digits as its factorization.

136752864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49184 (or 49160 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 136752864000 in words is "one hundred thirty-six billion, seven hundred fifty-two million, eight hundred sixty-four thousand".