141506820 has 288 divisors, whose sum is σ = 541562112. Its totient is φ = 29113344.

The previous prime is 141506797. The next prime is 141506891. The reversal of 141506820 is 28605141.

141506820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868059 + ... + 868221.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 2^141506820 is an apocalyptic number.

141506820 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 141506820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270781056).

141506820 is an abundant number, since it is smaller than the sum of its proper divisors (400055292).

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

141506820 is a wasteful number, since it uses less digits than its factorization.

141506820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 141506820 is about 11895.6639158981. The cubic root of 141506820 is about 521.1056602225.

The spelling of 141506820 in words is "one hundred forty-one million, five hundred six thousand, eight hundred twenty".