141219936 has 288 divisors, whose sum is σ = 493129728. Its totient is φ = 39191040.

The previous prime is 141219893. The next prime is 141219959. The reversal of 141219936 is 639912141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 self number, because there is not a number n which added to its sum of digits gives 141219936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111905 + ... + 1112031.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2^141219936 is an apocalyptic number.

141219936 is a gapful number since it is divisible by the number (16) 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 141219936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

141219936 is an abundant number, since it is smaller than the sum of its proper divisors (351909792).

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

141219936 is a wasteful number, since it uses less digits than its factorization.

141219936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 141219936 is about 11883.5994547107. The cubic root of 141219936 is about 520.7532672714.

The spelling of 141219936 in words is "one hundred forty-one million, two hundred nineteen thousand, nine hundred thirty-six".