135307638 has 32 divisors (see below), whose sum is σ = 305620320. Its totient is φ = 44362080.

The previous prime is 135307633. The next prime is 135307651. The reversal of 135307638 is 836703531.

135307638 is a `hidden beast` number, since 13 + 5 + 3 + 0 + 7 + 638 = 666.

It is a super-2 number, since 2×135307638² = 36616313802278088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135307633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17245 + ... + 23832.

It is an arithmetic number, because the mean of its divisors is an integer number (9550635).

Almost surely, 2^135307638 is an apocalyptic number.

135307638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135307638 is an abundant number, since it is smaller than the sum of its proper divisors (170312682).

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

135307638 is a wasteful number, since it uses less digits than its factorization.

135307638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41149 (or 41143 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135307638 is about 11632.1811368290. The cubic root of 135307638 is about 513.3821577031.

The spelling of 135307638 in words is "one hundred thirty-five million, three hundred seven thousand, six hundred thirty-eight".