141388128 has 216 divisors, whose sum is σ = 480648168. Its totient is φ = 39287808.

The previous prime is 141388127. The next prime is 141388129. The reversal of 141388128 is 821883141.

It is an interprime number because it is at equal distance from previous prime (141388127) and next prime (141388129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141388092 and 141388101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141388123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606700 + ... + 606932.

It is an arithmetic number, because the mean of its divisors is an integer number (2225223).

Almost surely, 2^141388128 is an apocalyptic number.

141388128 is a gapful number since it is divisible by the number (18) 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 141388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240324084).

141388128 is an abundant number, since it is smaller than the sum of its proper divisors (339260040).

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

141388128 is a wasteful number, since it uses less digits than its factorization.

141388128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 141388128 is about 11890.6739926717. The cubic root of 141388128 is about 520.9599231382.

The spelling of 141388128 in words is "one hundred forty-one million, three hundred eighty-eight thousand, one hundred twenty-eight".