145617984 has 84 divisors (see below), whose sum is σ = 419519100. Its totient is φ = 48291840.

The previous prime is 145617949. The next prime is 145618009. The reversal of 145617984 is 489716541.

145617984 is a `hidden beast` number, since 1 + 4 + 561 + 7 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121881600 + 23736384 = 11040^2 + 4872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138292 + ... + 139340.

It is an arithmetic number, because the mean of its divisors is an integer number (4994275).

Almost surely, 2^145617984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209759550).

145617984 is an abundant number, since it is smaller than the sum of its proper divisors (273901116).

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

145617984 is a wasteful number, since it uses less digits than its factorization.

145617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 145617984 is about 12067.2276849324. The cubic root of 145617984 is about 526.1040819157.

The spelling of 145617984 in words is "one hundred forty-five million, six hundred seventeen thousand, nine hundred eighty-four".