135174960 has 80 divisors (see below), whose sum is σ = 465610080. Its totient is φ = 36046080.

The previous prime is 135174953. The next prime is 135174967. The reversal of 135174960 is 69471531.

It is an interprime number because it is at equal distance from previous prime (135174953) and next prime (135174967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135174960² = 36544539622003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135174967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29131 + ... + 33450.

It is an arithmetic number, because the mean of its divisors is an integer number (5820126).

Almost surely, 2^135174960 is an apocalyptic number.

135174960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135174960 is an abundant number, since it is smaller than the sum of its proper divisors (330435120).

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

135174960 is a wasteful number, since it uses less digits than its factorization.

135174960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62603 (or 62591 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135174960 is about 11626.4766804049. The cubic root of 135174960 is about 513.2143012178.

It can be divided in two parts, 135 and 174960, that multiplied together give a square (23619600 = 4860²).

The spelling of 135174960 in words is "one hundred thirty-five million, one hundred seventy-four thousand, nine hundred sixty".