153412302160 has 80 divisors (see below), whose sum is σ = 385333368336. Its totient is φ = 56465731584.

The previous prime is 153412302157. The next prime is 153412302179. The reversal of 153412302160 is 61203214351.

It can be written as a sum of positive squares in 8 ways, for example, as 41122972944 + 112289329216 = 202788^2 + 335096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×153412302160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97012 + ... + 562348.

Almost surely, 2^153412302160 is an apocalyptic number.

153412302160 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 153412302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666684168).

153412302160 is an abundant number, since it is smaller than the sum of its proper divisors (231921066176).

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

153412302160 is a wasteful number, since it uses less digits than its factorization.

153412302160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465680 (or 465674 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 153412302160 in words is "one hundred fifty-three billion, four hundred twelve million, three hundred two thousand, one hundred sixty".