141536640 has 128 divisors (see below), whose sum is σ = 515646720. Its totient is φ = 32348160.

The previous prime is 141536639. The next prime is 141536651. The reversal of 141536640 is 46635141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141536598 and 141536607.

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 15 ways as a sum of consecutive naturals, for example, 8175 + ... + 18705.

It is an arithmetic number, because the mean of its divisors is an integer number (4028490).

Almost surely, 2^141536640 is an apocalyptic number.

141536640 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 141536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257823360).

141536640 is an abundant number, since it is smaller than the sum of its proper divisors (374110080).

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

141536640 is a wasteful number, since it uses less digits than its factorization.

141536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 141536640 is about 11896.9172477579. The cubic root of 141536640 is about 521.1422621789.

The spelling of 141536640 in words is "one hundred forty-one million, five hundred thirty-six thousand, six hundred forty".