135977346 has 64 divisors (see below), whose sum is σ = 322790400. Its totient is φ = 42336000.

The previous prime is 135977299. The next prime is 135977351. The reversal of 135977346 is 643779531.

135977346 is a `hidden beast` number, since 13 + 597 + 7 + 3 + 46 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47146 + ... + 49946.

It is an arithmetic number, because the mean of its divisors is an integer number (5043600).

Almost surely, 2^135977346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135977346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395200).

135977346 is an abundant number, since it is smaller than the sum of its proper divisors (186813054).

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

135977346 is a wasteful number, since it uses less digits than its factorization.

135977346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2866 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 135977346 is about 11660.9324670028. The cubic root of 135977346 is about 514.2277627161.

The spelling of 135977346 in words is "one hundred thirty-five million, nine hundred seventy-seven thousand, three hundred forty-six".