153031680 has 308 divisors, whose sum is σ = 563817492. Its totient is φ = 39813120.

The previous prime is 153031661. The next prime is 153031687. The reversal of 153031680 is 86130351.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 126157824 = 5184^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153031687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732460 + ... + 3732500.

Almost surely, 2^153031680 is an apocalyptic number.

153031680 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 153031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281908746).

153031680 is an abundant number, since it is smaller than the sum of its proper divisors (410785812).

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

153031680 is an frugal number, since it uses more digits than its factorization.

153031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153031680 is about 12370.5973986708. The cubic root of 153031680 is about 534.8850365842.

The spelling of 153031680 in words is "one hundred fifty-three million, thirty-one thousand, six hundred eighty".