135180864 has 168 divisors, whose sum is σ = 477072960. Its totient is φ = 35638272.

The previous prime is 135180847. The next prime is 135180887. The reversal of 135180864 is 468081531.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51127 + ... + 53705.

It is an arithmetic number, because the mean of its divisors is an integer number (2839720).

Almost surely, 2^135180864 is an apocalyptic number.

135180864 is a gapful number since it is divisible by the number (14) 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 135180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238536480).

135180864 is an abundant number, since it is smaller than the sum of its proper divisors (341892096).

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

135180864 is a wasteful number, since it uses less digits than its factorization.

135180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135180864 is about 11626.7305808641. The cubic root of 135180864 is about 513.2217729496.

It can be divided in two parts, 1351 and 80864, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 135180864 in words is "one hundred thirty-five million, one hundred eighty thousand, eight hundred sixty-four".