135154040 has 128 divisors (see below), whose sum is σ = 363726720. Its totient is φ = 44236800.

The previous prime is 135154039. The next prime is 135154043. The reversal of 135154040 is 40451531.

It is a super-2 number, since 2×135154040² = 36533229056643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135153997 and 135154015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135154043) 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 31 ways as a sum of consecutive naturals, for example, 700184 + ... + 700376.

It is an arithmetic number, because the mean of its divisors is an integer number (2841615).

Almost surely, 2^135154040 is an apocalyptic number.

135154040 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 135154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181863360).

135154040 is an abundant number, since it is smaller than the sum of its proper divisors (228572680).

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

135154040 is a wasteful number, since it uses less digits than its factorization.

135154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

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

The square root of 135154040 is about 11625.5769749290. The cubic root of 135154040 is about 513.1878244278.

The spelling of 135154040 in words is "one hundred thirty-five million, one hundred fifty-four thousand, forty".