145512288 has 72 divisors (see below), whose sum is σ = 429149448. Its totient is φ = 48501504.

The previous prime is 145512281. The next prime is 145512293. The reversal of 145512288 is 882215541.

145512288 is a `hidden beast` number, since 1 + 4 + 551 + 22 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145512281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581 + ... + 17132.

It is an arithmetic number, because the mean of its divisors is an integer number (5960409).

Almost surely, 2^145512288 is an apocalyptic number.

145512288 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 145512288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214574724).

145512288 is an abundant number, since it is smaller than the sum of its proper divisors (283637160).

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

145512288 is an equidigital number, since it uses as much as digits as its factorization.

145512288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18738 (or 18718 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 145512288 is about 12062.8474250485. The cubic root of 145512288 is about 525.9767612030.

The spelling of 145512288 in words is "one hundred forty-five million, five hundred twelve thousand, two hundred eighty-eight".