135754640 has 40 divisors (see below), whose sum is σ = 360720960. Its totient is φ = 46544256.

The previous prime is 135754609. The next prime is 135754643. The reversal of 135754640 is 46457531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135754640.

It is not an unprimeable number, because it can be changed into a prime (135754643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120650 + ... + 121769.

It is an arithmetic number, because the mean of its divisors is an integer number (9018024).

Almost surely, 2^135754640 is an apocalyptic number.

135754640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135754640 is an abundant number, since it is smaller than the sum of its proper divisors (224966320).

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

135754640 is a wasteful number, since it uses less digits than its factorization.

135754640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242439 (or 242433 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 135754640 is about 11651.3793174886. The cubic root of 135754640 is about 513.9468723319.

The spelling of 135754640 in words is "one hundred thirty-five million, seven hundred fifty-four thousand, six hundred forty".