136102400 has 240 divisors, whose sum is σ = 405926400. Its totient is φ = 45158400.

The previous prime is 136102399. The next prime is 136102409. The reversal of 136102400 is 4201631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4390385 + ... + 4390415.

It is an arithmetic number, because the mean of its divisors is an integer number (1691360).

Almost surely, 2^136102400 is an apocalyptic number.

136102400 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 136102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

136102400 is an abundant number, since it is smaller than the sum of its proper divisors (269824000).

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

136102400 is an frugal number, since it uses more digits than its factorization.

136102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 136102400 is about 11666.2933273598. The cubic root of 136102400 is about 514.3853540040.

The spelling of 136102400 in words is "one hundred thirty-six million, one hundred two thousand, four hundred".