134402112000 has 1280 divisors, whose sum is σ = 554804490240. Its totient is φ = 31850496000.

The previous prime is 134402111993. The next prime is 134402112029. The reversal of 134402112000 is 211204431.

134402112000 is a `hidden beast` number, since 1 + 3 + 440 + 21 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696383904 + ... + 696384096.

It is an arithmetic number, because the mean of its divisors is an integer number (433441008).

Almost surely, 2^134402112000 is an apocalyptic number.

134402112000 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 134402112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277402245120).

134402112000 is an abundant number, since it is smaller than the sum of its proper divisors (420402378240).

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

134402112000 is a wasteful number, since it uses less digits than its factorization.

134402112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 134402112000 its reverse (211204431), we get a palindrome (134613316431).

The spelling of 134402112000 in words is "one hundred thirty-four billion, four hundred two million, one hundred twelve thousand".