135174000 has 160 divisors (see below), whose sum is σ = 469594944. Its totient is φ = 33254400.

The previous prime is 135173993. The next prime is 135174019. The reversal of 135174000 is 471531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77134 + ... + 78866.

Almost surely, 2^135174000 is an apocalyptic number.

135174000 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 135174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234797472).

135174000 is an abundant number, since it is smaller than the sum of its proper divisors (334420944).

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

135174000 is a wasteful number, since it uses less digits than its factorization.

135174000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 135174000 is about 11626.4353952534. The cubic root of 135174000 is about 513.2130862815.

The spelling of 135174000 in words is "one hundred thirty-five million, one hundred seventy-four thousand".