136641000 has 128 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 35424000.

The previous prime is 136640993. The next prime is 136641013. The reversal of 136641000 is 146631.

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 31 ways as a sum of consecutive naturals, for example, 110385 + ... + 111615.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^136641000 is an apocalyptic number.

136641000 is a gapful number since it is divisible by the number (10) 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 136641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

136641000 is an abundant number, since it is smaller than the sum of its proper divisors (301556760).

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

136641000 is a wasteful number, since it uses less digits than its factorization.

136641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 136641000 is about 11689.3541310031. The cubic root of 136641000 is about 515.0629891221.

Adding to 136641000 its reverse (146631), we get a palindrome (136787631).

The spelling of 136641000 in words is "one hundred thirty-six million, six hundred forty-one thousand".