141164640 has 192 divisors, whose sum is σ = 506761920. Its totient is φ = 36679680.

The previous prime is 141164629. The next prime is 141164671. The reversal of 141164640 is 46461141.

141164640 is a `hidden beast` number, since 1 + 4 + 1 + 16 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176722 + ... + 177518.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^141164640 is an apocalyptic number.

141164640 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 141164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

141164640 is an abundant number, since it is smaller than the sum of its proper divisors (365597280).

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

141164640 is a wasteful number, since it uses less digits than its factorization.

141164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141164640 is about 11881.2726591052. The cubic root of 141164640 is about 520.6852897778.

The spelling of 141164640 in words is "one hundred forty-one million, one hundred sixty-four thousand, six hundred forty".