135629280 has 144 divisors (see below), whose sum is σ = 468087984. Its totient is φ = 35758080.

The previous prime is 135629237. The next prime is 135629287. The reversal of 135629280 is 82926531.

135629280 is a `hidden beast` number, since 1 + 3 + 5 + 629 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135629287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139195 + ... + 140165.

It is an arithmetic number, because the mean of its divisors is an integer number (3250611).

Almost surely, 2^135629280 is an apocalyptic number.

135629280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234043992).

135629280 is an abundant number, since it is smaller than the sum of its proper divisors (332458704).

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

135629280 is a wasteful number, since it uses less digits than its factorization.

135629280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135629280 is about 11645.9984544048. The cubic root of 135629280 is about 513.7886255080.

Adding to 135629280 its sum of digits (36), we get a square (135629316 = 11646²).

The spelling of 135629280 in words is "one hundred thirty-five million, six hundred twenty-nine thousand, two hundred eighty".