104140214133000 has 256 divisors, whose sum is σ = 344045493792000. Its totient is φ = 26135994470400.

The previous prime is 104140214132989. The next prime is 104140214133061. The reversal of 104140214133000 is 331412041401.

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

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, 2237193726 + ... + 2237240274.

It is an arithmetic number, because the mean of its divisors is an integer number (1343927710125).

Almost surely, 2^{104140214133000} is an apocalyptic number.

104140214133000 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 104140214133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172022746896000).

104140214133000 is an abundant number, since it is smaller than the sum of its proper divisors (239905279659000).

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

104140214133000 is a wasteful number, since it uses less digits than its factorization.

104140214133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90457 (or 90443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104140214133000 its reverse (331412041401), we get a palindrome (104471626174401).

The spelling of 104140214133000 in words is "one hundred four trillion, one hundred forty billion, two hundred fourteen million, one hundred thirty-three thousand".