135114000 has 160 divisors (see below), whose sum is σ = 497991936. Its totient is φ = 30873600.

The previous prime is 135113981. The next prime is 135114037. The reversal of 135114000 is 411531.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 40392 + ... + 43608.

Almost surely, 2^135114000 is an apocalyptic number.

135114000 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 135114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248995968).

135114000 is an abundant number, since it is smaller than the sum of its proper divisors (362877936).

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

135114000 is a wasteful number, since it uses less digits than its factorization.

135114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 135114000 is about 11623.8547823001. The cubic root of 135114000 is about 513.1371413455.

Adding to 135114000 its reverse (411531), we get a palindrome (135525531).

It can be divided in two parts, 1351 and 14000, that added together give a palindrome (15351).

The spelling of 135114000 in words is "one hundred thirty-five million, one hundred fourteen thousand".