135003960 has 288 divisors, whose sum is σ = 544695840. Its totient is φ = 28394496.

The previous prime is 135003959. The next prime is 135003991. The reversal of 135003960 is 69300531.

It is a super-3 number, since 3×135003960³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425722 + ... + 426038.

It is an arithmetic number, because the mean of its divisors is an integer number (1891305).

Almost surely, 2^135003960 is an apocalyptic number.

135003960 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 135003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272347920).

135003960 is an abundant number, since it is smaller than the sum of its proper divisors (409691880).

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

135003960 is a wasteful number, since it uses less digits than its factorization.

135003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 135003960 is about 11619.1204486398. The cubic root of 135003960 is about 512.9977998834.

The spelling of 135003960 in words is "one hundred thirty-five million, three thousand, nine hundred sixty".