135993972 has 24 divisors (see below), whose sum is σ = 323307936. Its totient is φ = 44475808.

The previous prime is 135993971. The next prime is 135993989. The reversal of 135993972 is 279399531.

135993972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135993971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106278 + ... + 107549.

It is an arithmetic number, because the mean of its divisors is an integer number (13471164).

Almost surely, 2^135993972 is an apocalyptic number.

135993972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135993972 is an abundant number, since it is smaller than the sum of its proper divisors (187313964).

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

135993972 is a wasteful number, since it uses less digits than its factorization.

135993972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213887 (or 213885 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 135993972 is about 11661.6453384589. The cubic root of 135993972 is about 514.2487201344.

It can be divided in two parts, 13599 and 3972, that added together give a palindrome (17571).

The spelling of 135993972 in words is "one hundred thirty-five million, nine hundred ninety-three thousand, nine hundred seventy-two".