134605446005200 has 240 divisors, whose sum is σ = 325173237509376. Its totient is φ = 53546400460800.

The previous prime is 134605446005141. The next prime is 134605446005237. The reversal of 134605446005200 is 2500644506431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110969039794 + ... + 110969041006.

Almost surely, 2^{134605446005200} is an apocalyptic number.

134605446005200 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 134605446005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162586618754688).

134605446005200 is an abundant number, since it is smaller than the sum of its proper divisors (190567791504176).

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

134605446005200 is a wasteful number, since it uses less digits than its factorization.

134605446005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

It can be divided in two parts, 13460544 and 6005200, that added together give a square (19465744 = 4412²).

The spelling of 134605446005200 in words is "one hundred thirty-four trillion, six hundred five billion, four hundred forty-six million, five thousand, two hundred".