134685450240000 has 680 divisors, whose sum is σ = 489609726885312. Its totient is φ = 32650690560000.

The previous prime is 134685450239929. The next prime is 134685450240001. The reversal of 134685450240000 is 42054586431.

It is a super-3 number, since 3×134685450240000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134685450240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1351630179 + ... + 1351729821.

Almost surely, 2^{134685450240000} is an apocalyptic number.

134685450240000 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 134685450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244804863442656).

134685450240000 is an abundant number, since it is smaller than the sum of its proper divisors (354924276645312).

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

134685450240000 is an frugal number, since it uses more digits than its factorization.

134685450240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99709 (or 99664 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 134685450240000 in words is "one hundred thirty-four trillion, six hundred eighty-five billion, four hundred fifty million, two hundred forty thousand".