61141152 has 48 divisors (see below), whose sum is σ = 161995680. Its totient is φ = 20189952.

The previous prime is 61141151. The next prime is 61141177. The reversal of 61141152 is 25114116.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (61141151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7543 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (3374910).

Almost surely, 2^61141152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80997840).

61141152 is an abundant number, since it is smaller than the sum of its proper divisors (100854528).

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

61141152 is a wasteful number, since it uses less digits than its factorization.

61141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5957 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 61141152 is about 7819.2807853408. The cubic root of 61141152 is about 393.9531152608.

Adding to 61141152 its reverse (25114116), we get a palindrome (86255268).

The spelling of 61141152 in words is "sixty-one million, one hundred forty-one thousand, one hundred fifty-two".