134635827200000 has 1536 divisors, whose sum is σ = 407339488604160. Its totient is φ = 43529011200000.

The previous prime is 134635827199987. The next prime is 134635827200011. The reversal of 134635827200000 is 2728536431.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1622118399959 + ... + 1622118400041.

It is an arithmetic number, because the mean of its divisors is an integer number (265194979560).

Almost surely, 2^{134635827200000} is an apocalyptic number.

134635827200000 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 134635827200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203669744302080).

134635827200000 is an abundant number, since it is smaller than the sum of its proper divisors (272703661404160).

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

134635827200000 is an frugal number, since it uses more digits than its factorization.

134635827200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 134635827200000 in words is "one hundred thirty-four trillion, six hundred thirty-five billion, eight hundred twenty-seven million, two hundred thousand".