145278619200 has 1764 divisors, whose sum is σ = 642579439248. Its totient is φ = 32024678400.

The previous prime is 145278619163. The next prime is 145278619229. The reversal of 145278619200 is 2916872541.

145278619200 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 8 + 619 + 20 + 0 = 666.

It is a super-2 number, since 2×145278619200² (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 251 ways as a sum of consecutive naturals, for example, 2168337567 + ... + 2168337633.

Almost surely, 2^145278619200 is an apocalyptic number.

145278619200 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 145278619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321289719624).

145278619200 is an abundant number, since it is smaller than the sum of its proper divisors (497300820048).

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

145278619200 is a wasteful number, since it uses less digits than its factorization.

145278619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145278619200 in words is "one hundred forty-five billion, two hundred seventy-eight million, six hundred nineteen thousand, two hundred".