135037620 has 36 divisors (see below), whose sum is σ = 409614660. Its totient is φ = 36009984.

The previous prime is 135037603. The next prime is 135037633. The reversal of 135037620 is 26730531.

It is a happy number.

135037620 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 37 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 40908816 = 9702^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374925 + ... + 375284.

It is an arithmetic number, because the mean of its divisors is an integer number (11378185).

Almost surely, 2^135037620 is an apocalyptic number.

135037620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135037620 is an abundant number, since it is smaller than the sum of its proper divisors (274577040).

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

135037620 is a wasteful number, since it uses less digits than its factorization.

135037620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750224 (or 750219 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135037620 is about 11620.5688328928. The cubic root of 135037620 is about 513.0404309071.

The spelling of 135037620 in words is "one hundred thirty-five million, thirty-seven thousand, six hundred twenty".