135225142000 has 160 divisors (see below), whose sum is σ = 367437732480. Its totient is φ = 47758233600.

The previous prime is 135225141973. The next prime is 135225142033. The reversal of 135225142000 is 241522531.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 484936 + ... + 711064.

It is an arithmetic number, because the mean of its divisors is an integer number (2296485828).

Almost surely, 2^135225142000 is an apocalyptic number.

135225142000 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 135225142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183718866240).

135225142000 is an abundant number, since it is smaller than the sum of its proper divisors (232212590480).

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

135225142000 is a wasteful number, since it uses less digits than its factorization.

135225142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226188 (or 226172 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 135225142000 its reverse (241522531), we get a palindrome (135466664531).

The spelling of 135225142000 in words is "one hundred thirty-five billion, two hundred twenty-five million, one hundred forty-two thousand".