141636816 has 80 divisors (see below), whose sum is σ = 413515200. Its totient is φ = 46403712.

The previous prime is 141636791. The next prime is 141636821. The reversal of 141636816 is 618636141.

141636816 is a `hidden beast` number, since 1 + 4 + 1 + 636 + 8 + 16 = 666.

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 a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22710 + ... + 28266.

It is an arithmetic number, because the mean of its divisors is an integer number (5168940).

Almost surely, 2^141636816 is an apocalyptic number.

141636816 is a gapful number since it is divisible by the number (16) 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 141636816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206757600).

141636816 is an abundant number, since it is smaller than the sum of its proper divisors (271878384).

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

141636816 is a wasteful number, since it uses less digits than its factorization.

141636816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5621 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 141636816 is about 11901.1266693536. The cubic root of 141636816 is about 521.2651835544.

The spelling of 141636816 in words is "one hundred forty-one million, six hundred thirty-six thousand, eight hundred sixteen".