141535040 has 56 divisors (see below), whose sum is σ = 338538312. Its totient is φ = 56360960.

The previous prime is 141535039. The next prime is 141535049. The reversal of 141535040 is 40535141.

It can be written as a sum of positive squares in 4 ways, for example, as 69488896 + 72046144 = 8336^2 + 8488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141534997 and 141535015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141535049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81380 + ... + 83100.

It is an arithmetic number, because the mean of its divisors is an integer number (6045327).

Almost surely, 2^141535040 is an apocalyptic number.

141535040 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 141535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169269156).

141535040 is an abundant number, since it is smaller than the sum of its proper divisors (197003272).

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

141535040 is a wasteful number, since it uses less digits than its factorization.

141535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 141535040 is about 11896.8500032572. The cubic root of 141535040 is about 521.1402984218.

The spelling of 141535040 in words is "one hundred forty-one million, five hundred thirty-five thousand, forty".