136967800 has 48 divisors (see below), whose sum is σ = 319566600. Its totient is φ = 54595200.

The previous prime is 136967797. The next prime is 136967801. The reversal of 136967800 is 8769631.

136967800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136967801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65166 + ... + 67234.

Almost surely, 2^136967800 is an apocalyptic number.

136967800 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 136967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159783300).

136967800 is an abundant number, since it is smaller than the sum of its proper divisors (182598800).

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

136967800 is a wasteful number, since it uses less digits than its factorization.

136967800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 136967800 is about 11703.3243140571. The cubic root of 136967800 is about 515.4732822070.

It can be divided in two parts, 1369 and 67800, that added together give a square (69169 = 263²).

The spelling of 136967800 in words is "one hundred thirty-six million, nine hundred sixty-seven thousand, eight hundred".