141806400 has 168 divisors, whose sum is σ = 480754944. Its totient is φ = 36556800.

The previous prime is 141806393. The next prime is 141806407. The reversal of 141806400 is 4608141.

It is an interprime number because it is at equal distance from previous prime (141806393) and next prime (141806407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141806407) 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, 148324 + ... + 149276.

Almost surely, 2^141806400 is an apocalyptic number.

141806400 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 141806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240377472).

141806400 is an abundant number, since it is smaller than the sum of its proper divisors (338948544).

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

141806400 is a wasteful number, since it uses less digits than its factorization.

141806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141806400 is about 11908.2492415972. The cubic root of 141806400 is about 521.4731402628.

The spelling of 141806400 in words is "one hundred forty-one million, eight hundred six thousand, four hundred".