248573136 has 80 divisors (see below), whose sum is σ = 746380800. Its totient is φ = 69811584.

The previous prime is 248573111. The next prime is 248573161. The reversal of 248573136 is 631375842.

248573136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248573111) and next prime (248573161).

It is a junction number, because it is equal to n+sod(n) for n = 248573094 and 248573103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13555 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (9329760).

Almost surely, 2^248573136 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 248573136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

248573136 is an abundant number, since it is smaller than the sum of its proper divisors (497807664).

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

248573136 is a wasteful number, since it uses less digits than its factorization.

248573136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12610 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 248573136 is about 15766.2023328384. The cubic root of 248573136 is about 628.7597469198.

The spelling of 248573136 in words is "two hundred forty-eight million, five hundred seventy-three thousand, one hundred thirty-six".