248155164 has 60 divisors (see below), whose sum is σ = 651065184. Its totient is φ = 82420416.

The previous prime is 248155147. The next prime is 248155231. The reversal of 248155164 is 461551842.

It is a happy number.

248155164 is a `hidden beast` number, since 2 + 48 + 1 + 551 + 64 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100189 + ... + 102635.

Almost surely, 2^248155164 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 248155164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325532592).

248155164 is an abundant number, since it is smaller than the sum of its proper divisors (402910020).

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

248155164 is a wasteful number, since it uses less digits than its factorization.

248155164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2765 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 248155164 is about 15752.9414396169. The cubic root of 248155164 is about 628.4071325126.

The spelling of 248155164 in words is "two hundred forty-eight million, one hundred fifty-five thousand, one hundred sixty-four".