135471672 has 288 divisors, whose sum is σ = 469497600. Its totient is φ = 35054208.

The previous prime is 135471671. The next prime is 135471683. The reversal of 135471672 is 276174531.

It is a happy number.

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 (135471671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2882353 + ... + 2882399.

It is an arithmetic number, because the mean of its divisors is an integer number (1630200).

Almost surely, 2^135471672 is an apocalyptic number.

135471672 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 135471672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234748800).

135471672 is an abundant number, since it is smaller than the sum of its proper divisors (334025928).

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

135471672 is a wasteful number, since it uses less digits than its factorization.

135471672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 135471672 is about 11639.2298714305. The cubic root of 135471672 is about 513.5895323514.

The spelling of 135471672 in words is "one hundred thirty-five million, four hundred seventy-one thousand, six hundred seventy-two".