135140000 has 120 divisors (see below), whose sum is σ = 345405060. Its totient is φ = 51968000.

The previous prime is 135139997. The next prime is 135140023. The reversal of 135140000 is 41531.

It can be written as a sum of positive squares in 10 ways, for example, as 23541904 + 111598096 = 4852^2 + 10564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579884 + ... + 580116.

Almost surely, 2^135140000 is an apocalyptic number.

135140000 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 135140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172702530).

135140000 is an abundant number, since it is smaller than the sum of its proper divisors (210265060).

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

135140000 is an equidigital number, since it uses as much as digits as its factorization.

135140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 135140000 is about 11624.9731182485. The cubic root of 135140000 is about 513.1700535777.

Adding to 135140000 its reverse (41531), we get a palindrome (135181531).

The spelling of 135140000 in words is "one hundred thirty-five million, one hundred forty thousand".