136294400 has 156 divisors (see below), whose sum is σ = 371740344. Its totient is φ = 49561600.

The previous prime is 136294397. The next prime is 136294427. The reversal of 136294400 is 4492631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12390395 + ... + 12390405.

Almost surely, 2^136294400 is an apocalyptic number.

136294400 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 136294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185870172).

136294400 is an abundant number, since it is smaller than the sum of its proper divisors (235445944).

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

136294400 is an frugal number, since it uses more digits than its factorization.

136294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 136294400 is about 11674.5192620510. The cubic root of 136294400 is about 514.6271219255.

The spelling of 136294400 in words is "one hundred thirty-six million, two hundred ninety-four thousand, four hundred".