153072601920 has 336 divisors, whose sum is σ = 611924526720. Its totient is φ = 34394738688.

The previous prime is 153072601879. The next prime is 153072601931. The reversal of 153072601920 is 29106270351.

153072601920 is a `hidden beast` number, since 1 + 5 + 307 + 260 + 1 + 92 + 0 = 666.

153072601920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1125094 + ... + 1253786.

Almost surely, 2^153072601920 is an apocalyptic number.

153072601920 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 153072601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305962263360).

153072601920 is an abundant number, since it is smaller than the sum of its proper divisors (458851924800).

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

153072601920 is a wasteful number, since it uses less digits than its factorization.

153072601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128782 (or 128769 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 153072601920 in words is "one hundred fifty-three billion, seventy-two million, six hundred one thousand, nine hundred twenty".