141164100 has 432 divisors, whose sum is σ = 581837760. Its totient is φ = 29030400.

The previous prime is 141164059. The next prime is 141164113. The reversal of 141164100 is 1461141.

141164100 is a `hidden beast` number, since 14 + 11 + 641 + 0 + 0 = 666.

141164100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1455252 + ... + 1455348.

Almost surely, 2^141164100 is an apocalyptic number.

141164100 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 141164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

141164100 is an abundant number, since it is smaller than the sum of its proper divisors (440673660).

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

141164100 is a wasteful number, since it uses less digits than its factorization.

141164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141164100 is about 11881.2499342451. The cubic root of 141164100 is about 520.6846258475.

The spelling of 141164100 in words is "one hundred forty-one million, one hundred sixty-four thousand, one hundred".