152901083013120 has 1344 divisors, whose sum is σ = 605724461806464. Its totient is φ = 36760568463360.

The previous prime is 152901083013043. The next prime is 152901083013149. The reversal of 152901083013120 is 21310380109251.

152901083013120 is a `hidden beast` number, since 1 + 5 + 29 + 0 + 10 + 8 + 301 + 312 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5563869780 + ... + 5563897260.

It is an arithmetic number, because the mean of its divisors is an integer number (450687843606).

Almost surely, 2^{152901083013120} is an apocalyptic number.

152901083013120 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 152901083013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302862230903232).

152901083013120 is an abundant number, since it is smaller than the sum of its proper divisors (452823378793344).

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

152901083013120 is an equidigital number, since it uses as much as digits as its factorization.

152901083013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27583 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 152901083013120 in words is "one hundred fifty-two trillion, nine hundred one billion, eighty-three million, thirteen thousand, one hundred twenty".