135051904 has 64 divisors (see below), whose sum is σ = 291783240. Its totient is φ = 61894656.

The previous prime is 135051901. The next prime is 135051907. The reversal of 135051904 is 409150531.

It is an interprime number because it is at equal distance from previous prime (135051901) and next prime (135051907).

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 30030400 = 10248^2 + 5480^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (135051901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460782 + ... + 461074.

Almost surely, 2^135051904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145891620).

135051904 is an abundant number, since it is smaller than the sum of its proper divisors (156731336).

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

135051904 is a wasteful number, since it uses less digits than its factorization.

135051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 135051904 is about 11621.1834165028. The cubic root of 135051904 is about 513.0585197210.

The spelling of 135051904 in words is "one hundred thirty-five million, fifty-one thousand, nine hundred four".