135629910 has 128 divisors (see below), whose sum is σ = 412594560. Its totient is φ = 31408128.

The previous prime is 135629903. The next prime is 135629947. The reversal of 135629910 is 19926531.

135629910 is a `hidden beast` number, since 1 + 3 + 562 + 9 + 91 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58534 + ... + 60806.

It is an arithmetic number, because the mean of its divisors is an integer number (3223395).

Almost surely, 2^135629910 is an apocalyptic number.

135629910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135629910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206297280).

135629910 is an abundant number, since it is smaller than the sum of its proper divisors (276964650).

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

135629910 is a wasteful number, since it uses less digits than its factorization.

135629910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 135629910 is about 11646.0255022905. The cubic root of 135629910 is about 513.7894210254.

The spelling of 135629910 in words is "one hundred thirty-five million, six hundred twenty-nine thousand, nine hundred ten".