135812376 has 160 divisors (see below), whose sum is σ = 441408000. Its totient is φ = 38211264.

The previous prime is 135812359. The next prime is 135812381. The reversal of 135812376 is 673218531.

135812376 is a `hidden beast` number, since 1 + 3 + 581 + 2 + 3 + 76 = 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 135812376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358155 + ... + 358533.

It is an arithmetic number, because the mean of its divisors is an integer number (2758800).

Almost surely, 2^135812376 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 135812376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220704000).

135812376 is an abundant number, since it is smaller than the sum of its proper divisors (305595624).

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

135812376 is a wasteful number, since it uses less digits than its factorization.

135812376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135812376 is about 11653.8567006807. The cubic root of 135812376 is about 514.0197219744.

The spelling of 135812376 in words is "one hundred thirty-five million, eight hundred twelve thousand, three hundred seventy-six".