135972864 has 96 divisors (see below), whose sum is σ = 402948000. Its totient is φ = 45305856.

The previous prime is 135972857. The next prime is 135972869. The reversal of 135972864 is 468279531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135972869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54067 + ... + 56525.

It is an arithmetic number, because the mean of its divisors is an integer number (4197375).

Almost surely, 2^135972864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201474000).

135972864 is an abundant number, since it is smaller than the sum of its proper divisors (266975136).

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

135972864 is an equidigital number, since it uses as much as digits as its factorization.

135972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2464 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 135972864 is about 11660.7402852478. The cubic root of 135972864 is about 514.2221127697. Note that the first 3 decimals are identical.

It can be divided in two parts, 13597 and 2864, that added together give a palindrome (16461).

The spelling of 135972864 in words is "one hundred thirty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".