136413000 has 192 divisors, whose sum is σ = 481852800. Its totient is φ = 34742400.

The previous prime is 136412993. The next prime is 136413001. The reversal of 136413000 is 314631.

136413000 is a `hidden beast` number, since 1 + 364 + 1 + 300 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136413001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206671 + ... + 207329.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^136413000 is an apocalyptic number.

136413000 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 136413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240926400).

136413000 is an abundant number, since it is smaller than the sum of its proper divisors (345439800).

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

136413000 is a wasteful number, since it uses less digits than its factorization.

136413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136413000 is about 11679.5975958078. The cubic root of 136413000 is about 514.7763505599.

Adding to 136413000 its reverse (314631), we get a palindrome (136727631).

It can be divided in two parts, 13641 and 3000, that added together give a square (16641 = 129²).

The spelling of 136413000 in words is "one hundred thirty-six million, four hundred thirteen thousand".