136512000 has 320 divisors, whose sum is σ = 510681600. Its totient is φ = 35942400.

The previous prime is 136511959. The next prime is 136512007. The reversal of 136512000 is 215631.

136512000 is a `hidden beast` number, since 13 + 651 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×136512000² = 37271052288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (136512007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727961 + ... + 1728039.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^136512000 is an apocalyptic number.

136512000 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 136512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

136512000 is an abundant number, since it is smaller than the sum of its proper divisors (374169600).

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

136512000 is an frugal number, since it uses more digits than its factorization.

136512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 136512000 is about 11683.8349868526. The cubic root of 136512000 is about 514.9008512431.

Adding to 136512000 its reverse (215631), we get a palindrome (136727631).

It can be divided in two parts, 13651 and 2000, that added together give a palindrome (15651).

The spelling of 136512000 in words is "one hundred thirty-six million, five hundred twelve thousand".