135152681674800 has 480 divisors, whose sum is σ = 445992493492800. Its totient is φ = 34960148398080.

The previous prime is 135152681674723. The next prime is 135152681674831. The reversal of 135152681674800 is 8476186251531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25514945752 + ... + 25514951048.

It is an arithmetic number, because the mean of its divisors is an integer number (929151028110).

Almost surely, 2^{135152681674800} is an apocalyptic number.

135152681674800 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 135152681674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222996246746400).

135152681674800 is an abundant number, since it is smaller than the sum of its proper divisors (310839811818000).

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

135152681674800 is a wasteful number, since it uses less digits than its factorization.

135152681674800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 135152681674800 in words is "one hundred thirty-five trillion, one hundred fifty-two billion, six hundred eighty-one million, six hundred seventy-four thousand, eight hundred".