1641149136 has 180 divisors, whose sum is σ = 5094048960. Its totient is φ = 492835200.

The previous prime is 1641149131. The next prime is 1641149141. The reversal of 1641149136 is 6319411461.

1641149136 is a `hidden beast` number, since 1 + 641 + 1 + 4 + 9 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1641149131) and next prime (1641149141).

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 1641149136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641149131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2282185 + ... + 2282903.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^1641149136 is an apocalyptic number.

1641149136 is a gapful number since it is divisible by the number (16) 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 1641149136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547024480).

1641149136 is an abundant number, since it is smaller than the sum of its proper divisors (3452899824).

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

1641149136 is a wasteful number, since it uses less digits than its factorization.

1641149136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 866 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1641149136 is about 40511.0989236283. The cubic root of 1641149136 is about 1179.5490798399.

The spelling of 1641149136 in words is "one billion, six hundred forty-one million, one hundred forty-nine thousand, one hundred thirty-six".