135978360 has 64 divisors (see below), whose sum is σ = 466214400. Its totient is φ = 31080576.

The previous prime is 135978331. The next prime is 135978373. The reversal of 135978360 is 63879531.

135978360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135978360² = 36980228776579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80100 + ... + 81779.

It is an arithmetic number, because the mean of its divisors is an integer number (7284600).

Almost surely, 2^135978360 is an apocalyptic number.

135978360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135978360 is an abundant number, since it is smaller than the sum of its proper divisors (330236040).

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

135978360 is a wasteful number, since it uses less digits than its factorization.

135978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161900 (or 161896 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 135978360 is about 11660.9759454344. The cubic root of 135978360 is about 514.2290409331.

The spelling of 135978360 in words is "one hundred thirty-five million, nine hundred seventy-eight thousand, three hundred sixty".