135229248000 has 960 divisors, whose sum is σ = 607455763200. Its totient is φ = 28090368000.

The previous prime is 135229247953. The next prime is 135229248001. The reversal of 135229248000 is 842922531.

It is a happy number.

135229248000 is a `hidden beast` number, since 1 + 3 + 522 + 92 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (135229248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44350476 + ... + 44353524.

It is an arithmetic number, because the mean of its divisors is an integer number (632766420).

Almost surely, 2^135229248000 is an apocalyptic number.

135229248000 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 135229248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303727881600).

135229248000 is an abundant number, since it is smaller than the sum of its proper divisors (472226515200).

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

135229248000 is a wasteful number, since it uses less digits than its factorization.

135229248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 135229248000 in words is "one hundred thirty-five billion, two hundred twenty-nine million, two hundred forty-eight thousand".