258161148 has 96 divisors (see below), whose sum is σ = 768069120. Its totient is φ = 73457280.

The previous prime is 258161119. The next prime is 258161179. The reversal of 258161148 is 841161852.

258161148 is a `hidden beast` number, since 2 + 581 + 61 + 14 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236083 + ... + 237173.

It is an arithmetic number, because the mean of its divisors is an integer number (8000720).

Almost surely, 2^258161148 is an apocalyptic number.

258161148 is a gapful number since it is divisible by the number (28) 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 258161148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384034560).

258161148 is an abundant number, since it is smaller than the sum of its proper divisors (509907972).

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

258161148 is a wasteful number, since it uses less digits than its factorization.

258161148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 258161148 is about 16067.3939392796. The cubic root of 258161148 is about 636.7421915771.

The spelling of 258161148 in words is "two hundred fifty-eight million, one hundred sixty-one thousand, one hundred forty-eight".