135014640 has 80 divisors (see below), whose sum is σ = 428785056. Its totient is φ = 35123200.

The previous prime is 135014611. The next prime is 135014647. The reversal of 135014640 is 46410531.

135014640 = T₂₈₅ + T₂₈₆ + ... + T₉₄₀.

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 135014640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135014647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 16700.

Almost surely, 2^135014640 is an apocalyptic number.

135014640 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 135014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214392528).

135014640 is an abundant number, since it is smaller than the sum of its proper divisors (293770416).

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

135014640 is a wasteful number, since it uses less digits than its factorization.

135014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135014640 is about 11619.5800268340. The cubic root of 135014640 is about 513.0113270719.

The spelling of 135014640 in words is "one hundred thirty-five million, fourteen thousand, six hundred forty".