145322141200704 has 448 divisors, whose sum is σ = 483867325562880. Its totient is φ = 42433602140160.

The previous prime is 145322141200703. The next prime is 145322141200729. The reversal of 145322141200704 is 407002141223541.

145322141200704 is a `hidden beast` number, since 1 + 453 + 2 + 2 + 14 + 120 + 0 + 70 + 4 = 666.

It is a super-2 number, since 2×145322141200704² (a number of 29 digits) contains 22 as substring.

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 (145322141200703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64509999 + ... + 66724689.

It is an arithmetic number, because the mean of its divisors is an integer number (1080060994560).

Almost surely, 2^{145322141200704} 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 145322141200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241933662781440).

145322141200704 is an abundant number, since it is smaller than the sum of its proper divisors (338545184362176).

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

145322141200704 is a wasteful number, since it uses less digits than its factorization.

145322141200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214875 (or 2214859 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 145322141200704 in words is "one hundred forty-five trillion, three hundred twenty-two billion, one hundred forty-one million, two hundred thousand, seven hundred four".