135753972 has 12 divisors (see below), whose sum is σ = 316759296. Its totient is φ = 45251320.

The previous prime is 135753953. The next prime is 135753979. The reversal of 135753972 is 279357531.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135753979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5656404 + ... + 5656427.

It is an arithmetic number, because the mean of its divisors is an integer number (26396608).

Almost surely, 2^135753972 is an apocalyptic number.

135753972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135753972 is an abundant number, since it is smaller than the sum of its proper divisors (181005324).

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

135753972 is a wasteful number, since it uses less digits than its factorization.

135753972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312838 (or 11312836 counting only the distinct ones).

The product of its digits is 198450, while the sum is 42.

The square root of 135753972 is about 11651.3506513194. The cubic root of 135753972 is about 513.9460293476.

The spelling of 135753972 in words is "one hundred thirty-five million, seven hundred fifty-three thousand, nine hundred seventy-two".