141709138560 has 1152 divisors, whose sum is σ = 580336099200. Its totient is φ = 31585075200.

The previous prime is 141709138507. The next prime is 141709138561. The reversal of 141709138560 is 65831907141.

141709138560 is a `hidden beast` number, since 1 + 4 + 1 + 70 + 9 + 13 + 8 + 560 = 666.

141709138560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (141709138561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1300083786 + ... + 1300083894.

It is an arithmetic number, because the mean of its divisors is an integer number (503763975).

Almost surely, 2^141709138560 is an apocalyptic number.

141709138560 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 141709138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290168049600).

141709138560 is an abundant number, since it is smaller than the sum of its proper divisors (438626960640).

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

141709138560 is a wasteful number, since it uses less digits than its factorization.

141709138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 141709138560 in words is "one hundred forty-one billion, seven hundred nine million, one hundred thirty-eight thousand, five hundred sixty".