134002004132040 has 256 divisors, whose sum is σ = 438898471280640. Its totient is φ = 32459681280000.

The previous prime is 134002004132021. The next prime is 134002004132099. The reversal of 134002004132040 is 40231400200431.

It is a super-2 number, since 2×134002004132040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134002004132040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18338850067 + ... + 18338857373.

It is an arithmetic number, because the mean of its divisors is an integer number (1714447153440).

Almost surely, 2^{134002004132040} is an apocalyptic number.

134002004132040 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 134002004132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219449235640320).

134002004132040 is an abundant number, since it is smaller than the sum of its proper divisors (304896467148600).

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

134002004132040 is a wasteful number, since it uses less digits than its factorization.

134002004132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134002004132040 its reverse (40231400200431), we get a palindrome (174233404332471).

The spelling of 134002004132040 in words is "one hundred thirty-four trillion, two billion, four million, one hundred thirty-two thousand, forty".