141691680 has 360 divisors, whose sum is σ = 557729172. Its totient is φ = 33675264.

The previous prime is 141691663. The next prime is 141691691. The reversal of 141691680 is 86196141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37896336 + 103795344 = 6156^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4885906 + ... + 4885934.

Almost surely, 2^141691680 is an apocalyptic number.

141691680 is a gapful number since it is divisible by the number (10) 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 141691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278864586).

141691680 is an abundant number, since it is smaller than the sum of its proper divisors (416037492).

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

141691680 is a wasteful number, since it uses less digits than its factorization.

141691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 141691680 is about 11903.4314380350. The cubic root of 141691680 is about 521.3324800902.

It can be divided in two parts, 1416 and 91680, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 141691680 in words is "one hundred forty-one million, six hundred ninety-one thousand, six hundred eighty".