135204672 has 112 divisors (see below), whose sum is σ = 395459712. Its totient is φ = 40550400.

The previous prime is 135204659. The next prime is 135204679. The reversal of 135204672 is 276402531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135204679) 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, 74172 + ... + 75972.

Almost surely, 2^135204672 is an apocalyptic number.

135204672 is a gapful number since it is divisible by the number (12) 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 135204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197729856).

135204672 is an abundant number, since it is smaller than the sum of its proper divisors (260255040).

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

135204672 is a wasteful number, since it uses less digits than its factorization.

135204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 135204672 is about 11627.7543833708. The cubic root of 135204672 is about 513.2519006524.

The spelling of 135204672 in words is "one hundred thirty-five million, two hundred four thousand, six hundred seventy-two".