141264 has 50 divisors (see below), whose sum is σ = 412610. Its totient is φ = 46656.

The previous prime is 141263. The next prime is 141269. The reversal of 141264 is 462141.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 11664 = 360^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141263) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1242 + ... + 1350.

2¹⁴¹²⁶⁴ 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 141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206305).

141264 is an abundant number, since it is smaller than the sum of its proper divisors (271346).

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

141264 is a wasteful number, since it uses less digits than its factorization.

141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 141264 is about 375.8510343208. The cubic root of 141264 is about 52.0807424133.

Subtracting from 141264 its sum of digits (18), we obtain a triangular number (141246 = T₅₃₁).

The spelling of 141264 in words is "one hundred forty-one thousand, two hundred sixty-four".