135845376 has 80 divisors (see below), whose sum is σ = 368280000. Its totient is φ = 44484608.

The previous prime is 135845371. The next prime is 135845393. The reversal of 135845376 is 673548531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135845371) 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, 89875 + ... + 91373.

It is an arithmetic number, because the mean of its divisors is an integer number (4603500).

Almost surely, 2^135845376 is an apocalyptic number.

135845376 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 135845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140000).

135845376 is an abundant number, since it is smaller than the sum of its proper divisors (232434624).

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

135845376 is an equidigital number, since it uses as much as digits as its factorization.

135845376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1563 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 135845376 is about 11655.2724549879. The cubic root of 135845376 is about 514.0613511632.

The spelling of 135845376 in words is "one hundred thirty-five million, eight hundred forty-five thousand, three hundred seventy-six".