153055680 has 224 divisors, whose sum is σ = 518891520. Its totient is φ = 38154240.

The previous prime is 153055673. The next prime is 153055681. The reversal of 153055680 is 86550351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153055681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101051 + ... + 1101189.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^153055680 is an apocalyptic number.

153055680 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 153055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

153055680 is an abundant number, since it is smaller than the sum of its proper divisors (365835840).

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

153055680 is a wasteful number, since it uses less digits than its factorization.

153055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 153055680 is about 12371.5674027182. The cubic root of 153055680 is about 534.9129971778.

It can be divided in two parts, 153055 and 680, that added together give a triangular number (153735 = T₅₅₄).

The spelling of 153055680 in words is "one hundred fifty-three million, fifty-five thousand, six hundred eighty".