141578640 has 180 divisors, whose sum is σ = 553233564. Its totient is φ = 32352768.

The previous prime is 141578603. The next prime is 141578641. The reversal of 141578640 is 46875141.

It is a happy number.

141578640 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 7 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 54641664 = 9324^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×141578640² = 40089022608499200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141578595 and 141578604.

It is not an unprimeable number, because it can be changed into a prime (141578641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33274 + ... + 37286.

Almost surely, 2^141578640 is an apocalyptic number.

141578640 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 141578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276616782).

141578640 is an abundant number, since it is smaller than the sum of its proper divisors (411654924).

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

141578640 is a wasteful number, since it uses less digits than its factorization.

141578640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 141578640 is about 11898.6822799838. The cubic root of 141578640 is about 521.1938055115.

The spelling of 141578640 in words is "one hundred forty-one million, five hundred seventy-eight thousand, six hundred forty".