145553220144 has 120 divisors (see below), whose sum is σ = 422531217680. Its totient is φ = 46740105216.

The previous prime is 145553220103. The next prime is 145553220149. The reversal of 145553220144 is 441022355541.

145553220144 is a `hidden beast` number, since 1 + 45 + 553 + 2 + 20 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145553220099 and 145553220108.

It is not an unprimeable number, because it can be changed into a prime (145553220149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 291012 + ... + 613020.

Almost surely, 2^145553220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145553220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211265608840).

145553220144 is an abundant number, since it is smaller than the sum of its proper divisors (276977997536).

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

145553220144 is a wasteful number, since it uses less digits than its factorization.

145553220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322139 (or 322130 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 145553220144 its reverse (441022355541), we get a palindrome (586575575685).

The spelling of 145553220144 in words is "one hundred forty-five billion, five hundred fifty-three million, two hundred twenty thousand, one hundred forty-four".