135119600 has 240 divisors, whose sum is σ = 418473216. Its totient is φ = 40704000.

The previous prime is 135119581. The next prime is 135119609. The reversal of 135119600 is 6911531.

It is a self number, because there is not a number n which added to its sum of digits gives 135119600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135119609) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1262747 + ... + 1262853.

Almost surely, 2^135119600 is an apocalyptic number.

135119600 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 135119600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

135119600 is an abundant number, since it is smaller than the sum of its proper divisors (283353616).

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

135119600 is a wasteful number, since it uses less digits than its factorization.

135119600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 135119600 is about 11624.0956637495. The cubic root of 135119600 is about 513.1442304907.

The spelling of 135119600 in words is "one hundred thirty-five million, one hundred nineteen thousand, six hundred".