135738960 has 160 divisors (see below), whose sum is σ = 492349440. Its totient is φ = 30288384.

The previous prime is 135738949. The next prime is 135738971. The reversal of 135738960 is 69837531.

It is an interprime number because it is at equal distance from previous prime (135738949) and next prime (135738971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71301 + ... + 73179.

It is an arithmetic number, because the mean of its divisors is an integer number (3077184).

Almost surely, 2^135738960 is an apocalyptic number.

135738960 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 135738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246174720).

135738960 is an abundant number, since it is smaller than the sum of its proper divisors (356610480).

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

135738960 is a wasteful number, since it uses less digits than its factorization.

135738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 135738960 is about 11650.7064163509. The cubic root of 135738960 is about 513.9270841875.

The spelling of 135738960 in words is "one hundred thirty-five million, seven hundred thirty-eight thousand, nine hundred sixty".