249392136 has 128 divisors (see below), whose sum is σ = 746599680. Its totient is φ = 67931136.

The previous prime is 249392123. The next prime is 249392137. The reversal of 249392136 is 631293942.

249392136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249392094 and 249392103.

It is not an unprimeable number, because it can be changed into a prime (249392137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329070 + ... + 329826.

It is an arithmetic number, because the mean of its divisors is an integer number (5832810).

Almost surely, 2^249392136 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 249392136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373299840).

249392136 is an abundant number, since it is smaller than the sum of its proper divisors (497207544).

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

249392136 is a wasteful number, since it uses less digits than its factorization.

249392136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 249392136 is about 15792.1542545658. The cubic root of 249392136 is about 629.4495368089.

The spelling of 249392136 in words is "two hundred forty-nine million, three hundred ninety-two thousand, one hundred thirty-six".