136846800 has 120 divisors (see below), whose sum is σ = 487111680. Its totient is φ = 36489600.

The previous prime is 136846799. The next prime is 136846817. The reversal of 136846800 is 8648631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4465 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (4059264).

Almost surely, 2^136846800 is an apocalyptic number.

136846800 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 136846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

136846800 is an abundant number, since it is smaller than the sum of its proper divisors (350264880).

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

136846800 is a wasteful number, since it uses less digits than its factorization.

136846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12698 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136846800 is about 11698.1537004777. The cubic root of 136846800 is about 515.3214444682.

The spelling of 136846800 in words is "one hundred thirty-six million, eight hundred forty-six thousand, eight hundred".