135770400 has 216 divisors, whose sum is σ = 485945460. Its totient is φ = 35665920.

The previous prime is 135770399. The next prime is 135770417. The reversal of 135770400 is 4077531.

It can be written as a sum of positive squares in 6 ways, for example, as 94245264 + 41525136 = 9708^2 + 6444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 784714 + ... + 784886.

Almost surely, 2^135770400 is an apocalyptic number.

135770400 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 135770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242972730).

135770400 is an abundant number, since it is smaller than the sum of its proper divisors (350175060).

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

135770400 is a wasteful number, since it uses less digits than its factorization.

135770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 135770400 is about 11652.0556126376. The cubic root of 135770400 is about 513.9667599008.

The spelling of 135770400 in words is "one hundred thirty-five million, seven hundred seventy thousand, four hundred".