145911528 has 192 divisors, whose sum is σ = 477360000. Its totient is φ = 39384576.

The previous prime is 145911511. The next prime is 145911529. The reversal of 145911528 is 825119541.

145911528 is a `hidden beast` number, since 1 + 45 + 91 + 1 + 528 = 666.

145911528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 145911492 and 145911501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145911529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979198 + ... + 979346.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^145911528 is an apocalyptic number.

145911528 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 145911528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

145911528 is an abundant number, since it is smaller than the sum of its proper divisors (331448472).

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

145911528 is a wasteful number, since it uses less digits than its factorization.

145911528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 145911528 is about 12079.3844214016. The cubic root of 145911528 is about 526.4573602587.

The spelling of 145911528 in words is "one hundred forty-five million, nine hundred eleven thousand, five hundred twenty-eight".