153015675120 has 1920 divisors, whose sum is σ = 713097216000. Its totient is φ = 29059430400.

The previous prime is 153015675101. The next prime is 153015675203. The reversal of 153015675120 is 21576510351.

It is a happy number.

153015675120 is a `hidden beast` number, since 1 + 530 + 1 + 56 + 7 + 51 + 20 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1936907241 + ... + 1936907319.

It is an arithmetic number, because the mean of its divisors is an integer number (371404800).

Almost surely, 2^153015675120 is an apocalyptic number.

153015675120 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 153015675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548608000).

153015675120 is an abundant number, since it is smaller than the sum of its proper divisors (560081540880).

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

153015675120 is a wasteful number, since it uses less digits than its factorization.

153015675120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 153015675120 in words is "one hundred fifty-three billion, fifteen million, six hundred seventy-five thousand, one hundred twenty".