141409600 has 84 divisors (see below), whose sum is σ = 359306368. Its totient is φ = 54720000.

The previous prime is 141409531. The next prime is 141409633. The reversal of 141409600 is 6904141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48175 + ... + 51025.

Almost surely, 2^141409600 is an apocalyptic number.

141409600 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 141409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179653184).

141409600 is an abundant number, since it is smaller than the sum of its proper divisors (217896768).

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

141409600 is a wasteful number, since it uses less digits than its factorization.

141409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 141409600 is about 11891.5768508638. The cubic root of 141409600 is about 520.9862937758.

The spelling of 141409600 in words is "one hundred forty-one million, four hundred nine thousand, six hundred".