145855428048 has 240 divisors, whose sum is σ = 460532666880. Its totient is φ = 42692198400.

The previous prime is 145855428031. The next prime is 145855428097. The reversal of 145855428048 is 840824558541.

It is a happy number.

145855428048 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 554 + 2 + 80 + 4 + 8 = 666.

145855428048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145855428048³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145855427985 and 145855428003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29116168 + ... + 29121176.

It is an arithmetic number, because the mean of its divisors is an integer number (1918886112).

Almost surely, 2^145855428048 is an apocalyptic number.

145855428048 is a gapful number since it is divisible by the number (18) 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 145855428048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230266333440).

145855428048 is an abundant number, since it is smaller than the sum of its proper divisors (314677238832).

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

145855428048 is a wasteful number, since it uses less digits than its factorization.

145855428048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 145855428048 in words is "one hundred forty-five billion, eight hundred fifty-five million, four hundred twenty-eight thousand, forty-eight".