135976160 has 48 divisors (see below), whose sum is σ = 338158800. Its totient is φ = 51526656.

The previous prime is 135976153. The next prime is 135976163. The reversal of 135976160 is 61679531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135976163) 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 7 ways as a sum of consecutive naturals, for example, 19325 + ... + 25404.

It is an arithmetic number, because the mean of its divisors is an integer number (7044975).

Almost surely, 2^135976160 is an apocalyptic number.

135976160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135976160 is an abundant number, since it is smaller than the sum of its proper divisors (202182640).

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

135976160 is a wasteful number, since it uses less digits than its factorization.

135976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44763 (or 44755 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 135976160 is about 11660.8816133258. The cubic root of 135976160 is about 514.2262676732.

The spelling of 135976160 in words is "one hundred thirty-five million, nine hundred seventy-six thousand, one hundred sixty".