135121600 has 84 divisors (see below), whose sum is σ = 337007200. Its totient is φ = 53314560.

The previous prime is 135121561. The next prime is 135121603. The reversal of 135121600 is 6121531.

It is not an unprimeable number, because it can be changed into a prime (135121603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125866 + ... + 126934.

Almost surely, 2^135121600 is an apocalyptic number.

135121600 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 135121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168503600).

135121600 is an abundant number, since it is smaller than the sum of its proper divisors (201885600).

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

135121600 is a wasteful number, since it uses less digits than its factorization.

135121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 135121600 is about 11624.1816916289. The cubic root of 135121600 is about 513.1467622808.

The spelling of 135121600 in words is "one hundred thirty-five million, one hundred twenty-one thousand, six hundred".