153516430120 has 16 divisors (see below), whose sum is σ = 345411967860. Its totient is φ = 61406572032.

The previous prime is 153516430049. The next prime is 153516430139. The reversal of 153516430120 is 21034615351.

153516430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150322145796 + 3194284324 = 387714^2 + 56518^2 .

It is a super-3 number, since 3×153516430120³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1918955337 + ... + 1918955416.

Almost surely, 2^153516430120 is an apocalyptic number.

153516430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153516430120 is an abundant number, since it is smaller than the sum of its proper divisors (191895537740).

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

153516430120 is a wasteful number, since it uses less digits than its factorization.

153516430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837910764 (or 3837910760 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 153516430120 in words is "one hundred fifty-three billion, five hundred sixteen million, four hundred thirty thousand, one hundred twenty".