2136729225600 has 288 divisors, whose sum is σ = 7626290948640. Its totient is φ = 569648640000.

The previous prime is 2136729225551. The next prime is 2136729225601. The reversal of 2136729225600 is 65229276312.

2136729225600 is a `hidden beast` number, since 2 + 1 + 3 + 67 + 2 + 9 + 22 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2136729225600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136729225601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158422057 + ... + 158435543.

It is an arithmetic number, because the mean of its divisors is an integer number (26480176905).

Almost surely, 2^{2136729225600} is an apocalyptic number.

2136729225600 is a gapful number since it is divisible by the number (20) 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 2136729225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813145474320).

2136729225600 is an abundant number, since it is smaller than the sum of its proper divisors (5489561723040).

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

2136729225600 is a wasteful number, since it uses less digits than its factorization.

2136729225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19018 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2136729225600 in words is "two trillion, one hundred thirty-six billion, seven hundred twenty-nine million, two hundred twenty-five thousand, six hundred".