135413376 has 64 divisors (see below), whose sum is σ = 411084480. Its totient is φ = 38688768.

The previous prime is 135413371. The next prime is 135413393. The reversal of 135413376 is 673314531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×135413376³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135413371) 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, 22501 + ... + 27876.

It is an arithmetic number, because the mean of its divisors is an integer number (6423195).

Almost surely, 2^135413376 is an apocalyptic number.

135413376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135413376 is an abundant number, since it is smaller than the sum of its proper divisors (275671104).

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

135413376 is an equidigital number, since it uses as much as digits as its factorization.

135413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50401 (or 50389 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 135413376 is about 11636.7253125611. The cubic root of 135413376 is about 513.5158527140.

The spelling of 135413376 in words is "one hundred thirty-five million, four hundred thirteen thousand, three hundred seventy-six".