145439971200 has 576 divisors, whose sum is σ = 548493800400. Its totient is φ = 38041436160.

The previous prime is 145439971189. The next prime is 145439971223. The reversal of 145439971200 is 2179934541.

145439971200 is a `hidden beast` number, since 1 + 4 + 5 + 439 + 9 + 7 + 1 + 200 = 666.

145439971200 is digitally balanced in base 2, 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 (576).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 41211036 + ... + 41214564.

Almost surely, 2^145439971200 is an apocalyptic number.

145439971200 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 145439971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274246900200).

145439971200 is an abundant number, since it is smaller than the sum of its proper divisors (403053829200).

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

145439971200 is an equidigital number, since it uses as much as digits as its factorization.

145439971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 145439971200 in words is "one hundred forty-five billion, four hundred thirty-nine million, nine hundred seventy-one thousand, two hundred".