135153594576000 has 9216 divisors, whose sum is σ = 710492374126080. Its totient is φ = 25291284480000.

The previous prime is 135153594575983. The next prime is 135153594576037. The reversal of 135153594576000 is 675495351531.

It is a happy number.

135153594576000 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 535 + 9 + 45 + 7 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3296429135980 + ... + 3296429136020.

Almost surely, 2^{135153594576000} is an apocalyptic number.

135153594576000 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 135153594576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355246187063040).

135153594576000 is an abundant number, since it is smaller than the sum of its proper divisors (575338779550080).

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

135153594576000 is an equidigital number, since it uses as much as digits as its factorization.

135153594576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 135153594576000 in words is "one hundred thirty-five trillion, one hundred fifty-three billion, five hundred ninety-four million, five hundred seventy-six thousand".