135978000 has 160 divisors (see below), whose sum is σ = 444292992. Its totient is φ = 35776000.

The previous prime is 135977983. The next prime is 135978043. The reversal of 135978000 is 879531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785914 + ... + 786086.

Almost surely, 2^135978000 is an apocalyptic number.

135978000 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 135978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222146496).

135978000 is an abundant number, since it is smaller than the sum of its proper divisors (308314992).

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

135978000 is a wasteful number, since it uses less digits than its factorization.

135978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 135978000 is about 11660.9605093234. The cubic root of 135978000 is about 514.2285871289.

The spelling of 135978000 in words is "one hundred thirty-five million, nine hundred seventy-eight thousand".