153023143680 has 1728 divisors, whose sum is σ = 654532623360. Its totient is φ = 33721712640.

The previous prime is 153023143633. The next prime is 153023143687. The reversal of 153023143680 is 86341320351.

153023143680 is a `hidden beast` number, since 1 + 5 + 302 + 314 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153023143687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3558677739 + ... + 3558677781.

Almost surely, 2^153023143680 is an apocalyptic number.

153023143680 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 153023143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327266311680).

153023143680 is an abundant number, since it is smaller than the sum of its proper divisors (501509479680).

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

153023143680 is a wasteful number, since it uses less digits than its factorization.

153023143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 153023143680 in words is "one hundred fifty-three billion, twenty-three million, one hundred forty-three thousand, six hundred eighty".