141024021138 has 864 divisors, whose sum is σ = 458615783808. Its totient is φ = 31593576960.

The previous prime is 141024021109. The next prime is 141024021167. The reversal of 141024021138 is 831120420141.

141024021138 is a `hidden beast` number, since 1 + 410 + 2 + 4 + 0 + 211 + 38 = 666.

141024021138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141024021109) and next prime (141024021167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1931835870 + ... + 1931835942.

Almost surely, 2^141024021138 is an apocalyptic number.

141024021138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141024021138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229307891904).

141024021138 is an abundant number, since it is smaller than the sum of its proper divisors (317591762670).

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

141024021138 is a wasteful number, since it uses less digits than its factorization.

141024021138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 141024021138 its reverse (831120420141), we get a palindrome (972144441279).

The spelling of 141024021138 in words is "one hundred forty-one billion, twenty-four million, twenty-one thousand, one hundred thirty-eight".