202202134134000 has 1920 divisors, whose sum is σ = 937801446865920. Its totient is φ = 36742616064000.

The previous prime is 202202134133971. The next prime is 202202134134073. The reversal of 202202134134000 is 431431202202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 798671434 + ... + 798924566.

It is an arithmetic number, because the mean of its divisors is an integer number (488438253576).

Almost surely, 2^{202202134134000} is an apocalyptic number.

202202134134000 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 202202134134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468900723432960).

202202134134000 is an abundant number, since it is smaller than the sum of its proper divisors (735599312731920).

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

202202134134000 is a wasteful number, since it uses less digits than its factorization.

202202134134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253216 (or 253193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202202134134000 its reverse (431431202202), we get a palindrome (202633565336202).

The spelling of 202202134134000 in words is "two hundred two trillion, two hundred two billion, one hundred thirty-four million, one hundred thirty-four thousand".