141624864 has 144 divisors (see below), whose sum is σ = 430859520. Its totient is φ = 44029440.

The previous prime is 141624829. The next prime is 141624881. The reversal of 141624864 is 468426141.

It is a happy number.

141624864 is a `hidden beast` number, since 14 + 162 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 258639 + ... + 259185.

It is an arithmetic number, because the mean of its divisors is an integer number (2992080).

Almost surely, 2^141624864 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 141624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215429760).

141624864 is an abundant number, since it is smaller than the sum of its proper divisors (289234656).

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

141624864 is a wasteful number, since it uses less digits than its factorization.

141624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 141624864 is about 11900.6245214274. The cubic root of 141624864 is about 521.2505208490.

The spelling of 141624864 in words is "one hundred forty-one million, six hundred twenty-four thousand, eight hundred sixty-four".