135961200 has 120 divisors (see below), whose sum is σ = 483959600. Its totient is φ = 36253440.

The previous prime is 135961187. The next prime is 135961277. The reversal of 135961200 is 2169531.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4506 + ... + 17094.

Almost surely, 2^135961200 is an apocalyptic number.

135961200 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 135961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241979800).

135961200 is an abundant number, since it is smaller than the sum of its proper divisors (347998400).

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

135961200 is a wasteful number, since it uses less digits than its factorization.

135961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135961200 is about 11660.2401347485. The cubic root of 135961200 is about 514.2074087127.

It can be divided in two parts, 135961 and 200, that added together give a square (136161 = 369²).

The spelling of 135961200 in words is "one hundred thirty-five million, nine hundred sixty-one thousand, two hundred".