145363054144 has 112 divisors (see below), whose sum is σ = 360906218496. Its totient is φ = 56434291200.

The previous prime is 145363054099. The next prime is 145363054153. The reversal of 145363054144 is 441450363541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×145363054144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145363054097 and 145363054106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342509 + ... + 1446739.

Almost surely, 2^145363054144 is an apocalyptic number.

145363054144 is a gapful number since it is divisible by the number (14) 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 145363054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180453109248).

145363054144 is an abundant number, since it is smaller than the sum of its proper divisors (215543164352).

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

145363054144 is a wasteful number, since it uses less digits than its factorization.

145363054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104544 (or 104534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 145363054144 in words is "one hundred forty-five billion, three hundred sixty-three million, fifty-four thousand, one hundred forty-four".