141968400 has 120 divisors (see below), whose sum is σ = 519770304. Its totient is φ = 32448000.

The previous prime is 141968389. The next prime is 141968401. The reversal of 141968400 is 4869141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (141968401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51 + ... + 16850.

Almost surely, 2^141968400 is an apocalyptic number.

141968400 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 141968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259885152).

141968400 is an abundant number, since it is smaller than the sum of its proper divisors (377801904).

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

141968400 is a wasteful number, since it uses less digits than its factorization.

141968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 141968400 is about 11915.0493074934. The cubic root of 141968400 is about 521.6716421160.

It can be divided in two parts, 14196 and 8400, that multiplied together give a square (119246400 = 10920²).

The spelling of 141968400 in words is "one hundred forty-one million, nine hundred sixty-eight thousand, four hundred".