135834192 has 240 divisors, whose sum is σ = 449762880. Its totient is φ = 39004416.

The previous prime is 135834187. The next prime is 135834197. The reversal of 135834192 is 291438531.

It is an interprime number because it is at equal distance from previous prime (135834187) and next prime (135834197).

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

Its product of digits (25920) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135834197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027343 + ... + 2027409.

It is an arithmetic number, because the mean of its divisors is an integer number (1874012).

Almost surely, 2^135834192 is an apocalyptic number.

135834192 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 135834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224881440).

135834192 is an abundant number, since it is smaller than the sum of its proper divisors (313928688).

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

135834192 is a wasteful number, since it uses less digits than its factorization.

135834192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135834192 is about 11654.7926622484. The cubic root of 135834192 is about 514.0472434080.

The spelling of 135834192 in words is "one hundred thirty-five million, eight hundred thirty-four thousand, one hundred ninety-two".