135054140 has 48 divisors (see below), whose sum is σ = 306724320. Its totient is φ = 49655040.

The previous prime is 135054089. The next prime is 135054149. The reversal of 135054140 is 41450531.

It is a super-2 number, since 2×135054140² = 36479241462279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135054149) 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 15 ways as a sum of consecutive naturals, for example, 68975 + ... + 70905.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2^135054140 is an apocalyptic number.

135054140 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 135054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153362160).

135054140 is an abundant number, since it is smaller than the sum of its proper divisors (171670180).

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

135054140 is a wasteful number, since it uses less digits than its factorization.

135054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135054140 is about 11621.2796197321. The cubic root of 135054140 is about 513.0613512065.

The spelling of 135054140 in words is "one hundred thirty-five million, fifty-four thousand, one hundred forty".