153400160046056 has 144 divisors (see below), whose sum is σ = 367779472855200. Its totient is φ = 59764183026240.

The previous prime is 153400160045959. The next prime is 153400160046059. The reversal of 153400160046056 is 650640061004351.

153400160046056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153400160046059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2432613455 + ... + 2432676513.

It is an arithmetic number, because the mean of its divisors is an integer number (2554024117050).

Almost surely, 2^{153400160046056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153400160046056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183889736427600).

153400160046056 is an abundant number, since it is smaller than the sum of its proper divisors (214379312809144).

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

153400160046056 is a wasteful number, since it uses less digits than its factorization.

153400160046056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114388 (or 114366 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 153400160046056 in words is "one hundred fifty-three trillion, four hundred billion, one hundred sixty million, forty-six thousand, fifty-six".