153403133341164 has 144 divisors (see below), whose sum is σ = 422752711110912. Its totient is φ = 43159137614208.

The previous prime is 153403133341141. The next prime is 153403133341193. The reversal of 153403133341164 is 461143331304351.

153403133341164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104735809 + ... + 106190375.

It is an arithmetic number, because the mean of its divisors is an integer number (2935782716048).

Almost surely, 2^{153403133341164} is an apocalyptic number.

153403133341164 is a gapful number since it is divisible by the number (14) 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 153403133341164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211376355555456).

153403133341164 is an abundant number, since it is smaller than the sum of its proper divisors (269349577769748).

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

153403133341164 is a wasteful number, since it uses less digits than its factorization.

153403133341164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457332 (or 1457323 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 153403133341164 in words is "one hundred fifty-three trillion, four hundred three billion, one hundred thirty-three million, three hundred forty-one thousand, one hundred sixty-four".