145873612800 has 780 divisors, whose sum is σ = 554268915640. Its totient is φ = 37902090240.

The previous prime is 145873612777. The next prime is 145873612813. The reversal of 145873612800 is 8216378541.

145873612800 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 7 + 361 + 280 + 0 = 666.

It is a super-2 number, since 2×145873612800² (a number of 23 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 59 ways as a sum of consecutive naturals, for example, 356658996 + ... + 356659404.

Almost surely, 2^145873612800 is an apocalyptic number.

145873612800 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 145873612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277134457820).

145873612800 is an abundant number, since it is smaller than the sum of its proper divisors (408395302840).

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

145873612800 is an equidigital number, since it uses as much as digits as its factorization.

145873612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 145873612800 in words is "one hundred forty-five billion, eight hundred seventy-three million, six hundred twelve thousand, eight hundred".