135964800 has 144 divisors (see below), whose sum is σ = 485256330. Its totient is φ = 36249600.

The previous prime is 135964771. The next prime is 135964811. The reversal of 135964800 is 8469531.

135964800 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 103063104 + 32901696 = 10152^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 26440 + ... + 31160.

Almost surely, 2^135964800 is an apocalyptic number.

135964800 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 135964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242628165).

135964800 is an abundant number, since it is smaller than the sum of its proper divisors (349291530).

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

135964800 is a wasteful number, since it uses less digits than its factorization.

135964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135964800 is about 11660.3945044754. The cubic root of 135964800 is about 514.2119470916.

The spelling of 135964800 in words is "one hundred thirty-five million, nine hundred sixty-four thousand, eight hundred".