141585408 has 132 divisors (see below), whose sum is σ = 424711560. Its totient is φ = 47112192.

The previous prime is 141585403. The next prime is 141585413. The reversal of 141585408 is 804585141.

It is an interprime number because it is at equal distance from previous prime (141585403) and next prime (141585413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141585403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248548 + ... + 249116.

Almost surely, 2^141585408 is an apocalyptic number.

141585408 is a gapful number since it is divisible by the number (18) 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 141585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212355780).

141585408 is an abundant number, since it is smaller than the sum of its proper divisors (283126152).

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

141585408 is an frugal number, since it uses more digits than its factorization.

141585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 141585408 is about 11898.9666778254. The cubic root of 141585408 is about 521.2021103977.

The spelling of 141585408 in words is "one hundred forty-one million, five hundred eighty-five thousand, four hundred eight".