135461376 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 43868160.

The previous prime is 135461371. The next prime is 135461429. The reversal of 135461376 is 673164531.

135461376 is a `hidden beast` number, since 1 + 35 + 4 + 613 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135461376.

It is not an unprimeable number, because it can be changed into a prime (135461371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566665 + ... + 566903.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^135461376 is an apocalyptic number.

135461376 is a gapful number since it is divisible by the number (16) 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 135461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

135461376 is an abundant number, since it is smaller than the sum of its proper divisors (277012224).

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

135461376 is an equidigital number, since it uses as much as digits as its factorization.

135461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 135461376 is about 11638.7875657218. The cubic root of 135461376 is about 513.5765208937.

The spelling of 135461376 in words is "one hundred thirty-five million, four hundred sixty-one thousand, three hundred seventy-six".