136249344000 has 1280 divisors, whose sum is σ = 628138368000. Its totient is φ = 28311552000.

The previous prime is 136249343977. The next prime is 136249344001. The reversal of 136249344000 is 443942631.

It is a happy number.

136249344000 is a `hidden beast` number, since 1 + 3 + 6 + 249 + 3 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136249344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12386303995 + ... + 12386304005.

It is an arithmetic number, because the mean of its divisors is an integer number (490733100).

Almost surely, 2^136249344000 is an apocalyptic number.

136249344000 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 136249344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314069184000).

136249344000 is an abundant number, since it is smaller than the sum of its proper divisors (491889024000).

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

136249344000 is an frugal number, since it uses more digits than its factorization.

136249344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 136249 and 344000, that added together give a square (480249 = 693²).

The spelling of 136249344000 in words is "one hundred thirty-six billion, two hundred forty-nine million, three hundred forty-four thousand".