141350400 has 240 divisors, whose sum is σ = 520093200. Its totient is φ = 37601280.

The previous prime is 141350389. The next prime is 141350401. The reversal of 141350400 is 4053141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141350401) 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, 345396 + ... + 345804.

It is an arithmetic number, because the mean of its divisors is an integer number (2167055).

Almost surely, 2^141350400 is an apocalyptic number.

141350400 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 141350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046600).

141350400 is an abundant number, since it is smaller than the sum of its proper divisors (378742800).

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

141350400 is an equidigital number, since it uses as much as digits as its factorization.

141350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 141350400 is about 11889.0874334408. The cubic root of 141350400 is about 520.9135813773.

The spelling of 141350400 in words is "one hundred forty-one million, three hundred fifty thousand, four hundred".