135151377606 has 80 divisors (see below), whose sum is σ = 347215714560. Its totient is φ = 38490415920.

The previous prime is 135151377593. The next prime is 135151377607. The reversal of 135151377606 is 606773151531.

135151377606 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 1 + 37 + 7 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151377607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161065 + ... + 544283.

It is an arithmetic number, because the mean of its divisors is an integer number (4340196432).

Almost surely, 2^135151377606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135151377606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173607857280).

135151377606 is an abundant number, since it is smaller than the sum of its proper divisors (212064336954).

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

135151377606 is a wasteful number, since it uses less digits than its factorization.

135151377606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383551 (or 383542 counting only the distinct ones).

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

The spelling of 135151377606 in words is "one hundred thirty-five billion, one hundred fifty-one million, three hundred seventy-seven thousand, six hundred six".