134253503040000 has 400 divisors, whose sum is σ = 447011054648928. Its totient is φ = 35794569216000.

The previous prime is 134253503039963. The next prime is 134253503040049. The reversal of 134253503040000 is 40305352431.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×134253503040000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 134253503040000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8253111867 + ... + 8253128133.

Almost surely, 2^{134253503040000} is an apocalyptic number.

134253503040000 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 134253503040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223505527324464).

134253503040000 is an abundant number, since it is smaller than the sum of its proper divisors (312757551608928).

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

134253503040000 is an frugal number, since it uses more digits than its factorization.

134253503040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24905 (or 24874 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 134253503040000 its reverse (40305352431), we get a palindrome (134293808392431).

The spelling of 134253503040000 in words is "one hundred thirty-four trillion, two hundred fifty-three billion, five hundred three million, forty thousand".