145829128 has 32 divisors (see below), whose sum is σ = 296586360. Its totient is φ = 66949120.

The previous prime is 145829093. The next prime is 145829137. The reversal of 145829128 is 821928541.

It can be written as a sum of positive squares in 4 ways, for example, as 79602084 + 66227044 = 8922^2 + 8138^2 .

It is a super-2 number, since 2×145829128² = 42532269146480768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7501 + ... + 18652.

Almost surely, 2^145829128 is an apocalyptic number.

It is an amenable number.

145829128 is an abundant number, since it is smaller than the sum of its proper divisors (150757232).

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

145829128 is a wasteful number, since it uses less digits than its factorization.

145829128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26217 (or 26213 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 145829128 is about 12075.9731698940. The cubic root of 145829128 is about 526.3582402518.

The spelling of 145829128 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, one hundred twenty-eight".