204451542134000 has 320 divisors, whose sum is σ = 598923685930752. Its totient is φ = 65896869888000.

The previous prime is 204451542133991. The next prime is 204451542134057. The reversal of 204451542134000 is 431245154402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202510460 + ... + 203517540.

Almost surely, 2^{204451542134000} is an apocalyptic number.

204451542134000 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 204451542134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299461842965376).

204451542134000 is an abundant number, since it is smaller than the sum of its proper divisors (394472143796752).

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

204451542134000 is a wasteful number, since it uses less digits than its factorization.

204451542134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007981 (or 1007965 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 204451542134000 its reverse (431245154402), we get a palindrome (204882787288402).

The spelling of 204451542134000 in words is "two hundred four trillion, four hundred fifty-one billion, five hundred forty-two million, one hundred thirty-four thousand".