134053502400 has 504 divisors, whose sum is σ = 489386989728. Its totient is φ = 34790400000.

The previous prime is 134053502377. The next prime is 134053502419. The reversal of 134053502400 is 4205350431.

134053502400 is a `hidden beast` number, since 13 + 405 + 3 + 5 + 0 + 240 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 88717645 + ... + 88719155.

It is an arithmetic number, because the mean of its divisors is an integer number (971005932).

Almost surely, 2^134053502400 is an apocalyptic number.

134053502400 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 134053502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693494864).

134053502400 is an abundant number, since it is smaller than the sum of its proper divisors (355333487328).

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

134053502400 is a wasteful number, since it uses less digits than its factorization.

134053502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 134053502400 its reverse (4205350431), we get a palindrome (138258852831).

The spelling of 134053502400 in words is "one hundred thirty-four billion, fifty-three million, five hundred two thousand, four hundred".