136485844992000 has 4320 divisors, whose sum is σ = 617249154150720. Its totient is φ = 29964946636800.

The previous prime is 136485844991989. The next prime is 136485844992001. The reversal of 136485844992000 is 299448584631.

136485844992000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 8 + 584 + 49 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (136485844992001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 707180543904 + ... + 707180544096.

It is an arithmetic number, because the mean of its divisors is an integer number (142881748646).

Almost surely, 2^{136485844992000} is an apocalyptic number.

136485844992000 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 136485844992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308624577075360).

136485844992000 is an abundant number, since it is smaller than the sum of its proper divisors (480763309158720).

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

136485844992000 is an frugal number, since it uses more digits than its factorization.

136485844992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 136485844992000 in words is "one hundred thirty-six trillion, four hundred eighty-five billion, eight hundred forty-four million, nine hundred ninety-two thousand".