135101340 has 108 divisors (see below), whose sum is σ = 450522072. Its totient is φ = 32746560.

The previous prime is 135101321. The next prime is 135101347. The reversal of 135101340 is 43101531.

135101340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101347) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18679 + ... + 24881.

Almost surely, 2^135101340 is an apocalyptic number.

135101340 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 135101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225261036).

135101340 is an abundant number, since it is smaller than the sum of its proper divisors (315420732).

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

135101340 is a wasteful number, since it uses less digits than its factorization.

135101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135101340 is about 11623.3101997667. The cubic root of 135101340 is about 513.1211140917.

Adding to 135101340 its reverse (43101531), we get a palindrome (178202871).

It can be divided in two parts, 135 and 101340, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 135101340 in words is "one hundred thirty-five million, one hundred one thousand, three hundred forty".