153130133680 has 40 divisors (see below), whose sum is σ = 374765857200. Its totient is φ = 58028260608.

The previous prime is 153130133647. The next prime is 153130133683. The reversal of 153130133680 is 86331031351.

153130133680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (153130133683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50370235 + ... + 50373274.

It is an arithmetic number, because the mean of its divisors is an integer number (9369146430).

Almost surely, 2^153130133680 is an apocalyptic number.

153130133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153130133680 is an abundant number, since it is smaller than the sum of its proper divisors (221635723520).

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

153130133680 is a wasteful number, since it uses less digits than its factorization.

153130133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100743541 (or 100743535 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 153130133680 in words is "one hundred fifty-three billion, one hundred thirty million, one hundred thirty-three thousand, six hundred eighty".