141165648 has 120 divisors (see below), whose sum is σ = 431703272. Its totient is φ = 42799104.

The previous prime is 141165643. The next prime is 141165677. The reversal of 141165648 is 846561141.

141165648 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 6 + 5 + 648 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 105021504 = 6012^2 + 10248^2 .

It is a super-3 number, since 3×141165648³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141165643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136140 + ... + 137172.

Almost surely, 2^141165648 is an apocalyptic number.

141165648 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 141165648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215851636).

141165648 is an abundant number, since it is smaller than the sum of its proper divisors (290537624).

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

141165648 is a wasteful number, since it uses less digits than its factorization.

141165648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 141165648 is about 11881.3150787276. The cubic root of 141165648 is about 520.6865291097.

The spelling of 141165648 in words is "one hundred forty-one million, one hundred sixty-five thousand, six hundred forty-eight".