141189264 has 80 divisors (see below), whose sum is σ = 406938240. Its totient is φ = 46869120.

The previous prime is 141189259. The next prime is 141189287. The reversal of 141189264 is 462981141.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136429 + ... + 137459.

It is an arithmetic number, because the mean of its divisors is an integer number (5086728).

Almost surely, 2^141189264 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 141189264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203469120).

141189264 is an abundant number, since it is smaller than the sum of its proper divisors (265748976).

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

141189264 is a wasteful number, since it uses less digits than its factorization.

141189264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141189264 is about 11882.3088665461. The cubic root of 141189264 is about 520.7155631974.

The spelling of 141189264 in words is "one hundred forty-one million, one hundred eighty-nine thousand, two hundred sixty-four".