246149136 has 60 divisors (see below), whose sum is σ = 692452332. Its totient is φ = 81623808.

The previous prime is 246149093. The next prime is 246149191. The reversal of 246149136 is 631941642.

246149136 is a `hidden beast` number, since 2 + 4 + 614 + 9 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 75690000 = 13056^2 + 8700^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 246149136.

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 11 ways as a sum of consecutive naturals, for example, 24030 + ... + 32706.

Almost surely, 2^246149136 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 246149136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346226166).

246149136 is an abundant number, since it is smaller than the sum of its proper divisors (446303196).

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

246149136 is a wasteful number, since it uses less digits than its factorization.

246149136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8879 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 246149136 is about 15689.1407030468. The cubic root of 246149136 is about 626.7092506649.

The spelling of 246149136 in words is "two hundred forty-six million, one hundred forty-nine thousand, one hundred thirty-six".