141872140800 has 720 divisors, whose sum is σ = 556098110568. Its totient is φ = 34327756800.

The previous prime is 141872140793. The next prime is 141872140807. The reversal of 141872140800 is 8041278141.

It is an interprime number because it is at equal distance from previous prime (141872140793) and next prime (141872140807).

It can be written as a sum of positive squares in 12 ways, for example, as 29909627136 + 111962513664 = 172944^2 + 334608^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (141872140807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91352824 + ... + 91354376.

Almost surely, 2^141872140800 is an apocalyptic number.

141872140800 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 141872140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278049055284).

141872140800 is an abundant number, since it is smaller than the sum of its proper divisors (414225969768).

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

141872140800 is a wasteful number, since it uses less digits than its factorization.

141872140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 141872140800 in words is "one hundred forty-one billion, eight hundred seventy-two million, one hundred forty thousand, eight hundred".