141768900 has 288 divisors, whose sum is σ = 561908480. Its totient is φ = 29859840.

The previous prime is 141768871. The next prime is 141768919. The reversal of 141768900 is 9867141.

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

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, 245412 + ... + 245988.

Almost surely, 2^141768900 is an apocalyptic number.

141768900 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 141768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280954240).

141768900 is an abundant number, since it is smaller than the sum of its proper divisors (420139580).

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

141768900 is a wasteful number, since it uses less digits than its factorization.

141768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 141768900 is about 11906.6745987282. The cubic root of 141768900 is about 521.4271692141.

The spelling of 141768900 in words is "one hundred forty-one million, seven hundred sixty-eight thousand, nine hundred".