141206400 has 144 divisors (see below), whose sum is σ = 503959560. Its totient is φ = 37647360.

The previous prime is 141206381. The next prime is 141206431. The reversal of 141206400 is 4602141.

141206400 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26349 + ... + 31251.

Almost surely, 2^141206400 is an apocalyptic number.

141206400 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 141206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251979780).

141206400 is an abundant number, since it is smaller than the sum of its proper divisors (362753160).

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

141206400 is a wasteful number, since it uses less digits than its factorization.

141206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141206400 is about 11883.0299166500. The cubic root of 141206400 is about 520.7366285879.

Adding to 141206400 its reverse (4602141), we get a palindrome (145808541).

The spelling of 141206400 in words is "one hundred forty-one million, two hundred six thousand, four hundred".