134906892288000 has 4096 divisors, whose sum is σ = 584788455014400. Its totient is φ = 26907299020800.

The previous prime is 134906892287987. The next prime is 134906892288011. The reversal of 134906892288000 is 882298609431.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1390792703952 + ... + 1390792704048.

It is an arithmetic number, because the mean of its divisors is an integer number (142770618900).

Almost surely, 2^{134906892288000} is an apocalyptic number.

134906892288000 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 134906892288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292394227507200).

134906892288000 is an abundant number, since it is smaller than the sum of its proper divisors (449881562726400).

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

134906892288000 is an equidigital number, since it uses as much as digits as its factorization.

134906892288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 134906892288000 in words is "one hundred thirty-four trillion, nine hundred six billion, eight hundred ninety-two million, two hundred eighty-eight thousand".