135978400 has 72 divisors (see below), whose sum is σ = 342728064. Its totient is φ = 52627200.

The previous prime is 135978397. The next prime is 135978413. The reversal of 135978400 is 4879531.

It is a self number, because there is not a number n which added to its sum of digits gives 135978400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22059 + ... + 27541.

It is an arithmetic number, because the mean of its divisors is an integer number (4760112).

Almost surely, 2^135978400 is an apocalyptic number.

135978400 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 135978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171364032).

135978400 is an abundant number, since it is smaller than the sum of its proper divisors (206749664).

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

135978400 is a wasteful number, since it uses less digits than its factorization.

135978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 135978400 is about 11660.9776605566. The cubic root of 135978400 is about 514.2290913557.

The spelling of 135978400 in words is "one hundred thirty-five million, nine hundred seventy-eight thousand, four hundred".