136452657472000 has 320 divisors, whose sum is σ = 341121791058048. Its totient is φ = 54441953280000.

The previous prime is 136452657471983. The next prime is 136452657472013. The reversal of 136452657472000 is 274756254631.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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, 58288190830 + ... + 58288193170.

Almost surely, 2^{136452657472000} is an apocalyptic number.

136452657472000 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 136452657472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170560895529024).

136452657472000 is an abundant number, since it is smaller than the sum of its proper divisors (204669133586048).

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

136452657472000 is an equidigital number, since it uses as much as digits as its factorization.

136452657472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 136452657472000 in words is "one hundred thirty-six trillion, four hundred fifty-two billion, six hundred fifty-seven million, four hundred seventy-two thousand".