145536048 has 320 divisors, whose sum is σ = 535680000. Its totient is φ = 36827136.

The previous prime is 145536043. The next prime is 145536049. The reversal of 145536048 is 840635541.

It is a happy number.

145536048 is a `hidden beast` number, since 1 + 4 + 553 + 60 + 48 = 666.

145536048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145536048³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145536043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976678 + ... + 976826.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^145536048 is an apocalyptic number.

145536048 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 145536048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

145536048 is an abundant number, since it is smaller than the sum of its proper divisors (390143952).

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

145536048 is a wasteful number, since it uses less digits than its factorization.

145536048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145536048 is about 12063.8322269501. The cubic root of 145536048 is about 526.0053877149.

The spelling of 145536048 in words is "one hundred forty-five million, five hundred thirty-six thousand, forty-eight".