141615648 has 96 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 46414080.

The previous prime is 141615647. The next prime is 141615659. The reversal of 141615648 is 846516141.

141615648 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×141615648³ (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 not an unprimeable number, because it can be changed into a prime (141615647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51361 + ... + 54047.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^141615648 is an apocalyptic number.

141615648 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 141615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

141615648 is an abundant number, since it is smaller than the sum of its proper divisors (278357472).

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

141615648 is a wasteful number, since it uses less digits than its factorization.

141615648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2753 counting only the distinct ones).

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

The square root of 141615648 is about 11900.2373085582. The cubic root of 141615648 is about 521.2392141032.

The spelling of 141615648 in words is "one hundred forty-one million, six hundred fifteen thousand, six hundred forty-eight".