141552172800 has 648 divisors, whose sum is σ = 550473736176. Its totient is φ = 34557788160.

The previous prime is 141552172781. The next prime is 141552172807. The reversal of 141552172800 is 8271255141.

It is a happy number.

141552172800 is a `hidden beast` number, since 1 + 415 + 5 + 217 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141552172807) 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 71 ways as a sum of consecutive naturals, for example, 36228447 + ... + 36232353.

Almost surely, 2^141552172800 is an apocalyptic number.

141552172800 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 141552172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275236868088).

141552172800 is an abundant number, since it is smaller than the sum of its proper divisors (408921563376).

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

141552172800 is a wasteful number, since it uses less digits than its factorization.

141552172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 141552172800 in words is "one hundred forty-one billion, five hundred fifty-two million, one hundred seventy-two thousand, eight hundred".