145120414924800 has 2880 divisors, whose sum is σ = 645181855718400. Its totient is φ = 31616076349440.

The previous prime is 145120414924763. The next prime is 145120414924831. The reversal of 145120414924800 is 8429414021541.

145120414924800 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 20 + 4 + 149 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×145120414924800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 512792985459 + ... + 512792985741.

It is an arithmetic number, because the mean of its divisors is an integer number (224021477680).

Almost surely, 2^{145120414924800} is an apocalyptic number.

145120414924800 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 145120414924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322590927859200).

145120414924800 is an abundant number, since it is smaller than the sum of its proper divisors (500061440793600).

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

145120414924800 is an frugal number, since it uses more digits than its factorization.

145120414924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 145120414924800 in words is "one hundred forty-five trillion, one hundred twenty billion, four hundred fourteen million, nine hundred twenty-four thousand, eight hundred".