134445385267200 has 6048 divisors, whose sum is σ = 632071331564400. Its totient is φ = 28172400721920.

The previous prime is 134445385267159. The next prime is 134445385267229. The reversal of 134445385267200 is 2762583544431.

134445385267200 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 45 + 3 + 8 + 526 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1841717606364 + ... + 1841717606436.

Almost surely, 2^{134445385267200} is an apocalyptic number.

134445385267200 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 134445385267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316035665782200).

134445385267200 is an abundant number, since it is smaller than the sum of its proper divisors (497625946297200).

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

134445385267200 is an equidigital number, since it uses as much as digits as its factorization.

134445385267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 134445385267200 in words is "one hundred thirty-four trillion, four hundred forty-five billion, three hundred eighty-five million, two hundred sixty-seven thousand, two hundred".