135675792 has 120 divisors (see below), whose sum is σ = 436400640. Its totient is φ = 38545920.

The previous prime is 135675779. The next prime is 135675803. The reversal of 135675792 is 297576531.

135675792 is a `hidden beast` number, since 13 + 5 + 67 + 579 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283009 + ... + 283487.

It is an arithmetic number, because the mean of its divisors is an integer number (3636672).

Almost surely, 2^135675792 is an apocalyptic number.

135675792 is a gapful number since it is divisible by the number (12) 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 135675792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218200320).

135675792 is an abundant number, since it is smaller than the sum of its proper divisors (300724848).

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

135675792 is a wasteful number, since it uses less digits than its factorization.

135675792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 135675792 is about 11647.9951923067. The cubic root of 135675792 is about 513.8473507954.

The spelling of 135675792 in words is "one hundred thirty-five million, six hundred seventy-five thousand, seven hundred ninety-two".