135638280 has 64 divisors (see below), whose sum is σ = 452131200. Its totient is φ = 36169920.

The previous prime is 135638273. The next prime is 135638281. The reversal of 135638280 is 82836531.

135638280 is a `hidden beast` number, since 13 + 5 + 638 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135638281) 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, 61716 + ... + 63875.

It is an arithmetic number, because the mean of its divisors is an integer number (7064550).

Almost surely, 2^135638280 is an apocalyptic number.

135638280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135638280 is an abundant number, since it is smaller than the sum of its proper divisors (316492920).

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

135638280 is a wasteful number, since it uses less digits than its factorization.

135638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125611 (or 125601 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135638280 is about 11646.3848468098. The cubic root of 135638280 is about 513.7999898077.

The spelling of 135638280 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, two hundred eighty".