135137040 has 80 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 35785216.

The previous prime is 135137011. The next prime is 135137059. The reversal of 135137040 is 40731531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135137040.

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, 33871 + ... + 37649.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^135137040 is an apocalyptic number.

135137040 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 135137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

135137040 is an abundant number, since it is smaller than the sum of its proper divisors (286710960).

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

135137040 is a wasteful number, since it uses less digits than its factorization.

135137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135137040 is about 11624.8458054290. The cubic root of 135137040 is about 513.1663068596.

Adding to 135137040 its reverse (40731531), we get a palindrome (175868571).

The spelling of 135137040 in words is "one hundred thirty-five million, one hundred thirty-seven thousand, forty".