135760040 has 32 divisors (see below), whose sum is σ = 328958280. Its totient is φ = 50126592.

The previous prime is 135760039. The next prime is 135760069. The reversal of 135760040 is 40067531.

135760040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114618436 + 21141604 = 10706^2 + 4598^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 135759991 and 135760009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130019 + ... + 131058.

Almost surely, 2^135760040 is an apocalyptic number.

135760040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135760040 is an abundant number, since it is smaller than the sum of its proper divisors (193198240).

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

135760040 is a wasteful number, since it uses less digits than its factorization.

135760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261101 (or 261097 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 135760040 is about 11651.6110474046. The cubic root of 135760040 is about 513.9536867738.

The spelling of 135760040 in words is "one hundred thirty-five million, seven hundred sixty thousand, forty".