135192780 has 192 divisors, whose sum is σ = 444528000. Its totient is φ = 34062336.

The previous prime is 135192769. The next prime is 135192787. The reversal of 135192780 is 87291531.

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

It is not an unprimeable number, because it can be changed into a prime (135192787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393692 + ... + 1393788.

It is an arithmetic number, because the mean of its divisors is an integer number (2315250).

Almost surely, 2^135192780 is an apocalyptic number.

135192780 is a gapful number since it is divisible by the number (10) 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 135192780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264000).

135192780 is an abundant number, since it is smaller than the sum of its proper divisors (309335220).

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

135192780 is a wasteful number, since it uses less digits than its factorization.

135192780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 135192780 is about 11627.2430094154. The cubic root of 135192780 is about 513.2368524285.

The spelling of 135192780 in words is "one hundred thirty-five million, one hundred ninety-two thousand, seven hundred eighty".