152159855253120 has 4096 divisors, whose sum is σ = 670156333056000. Its totient is φ = 32528115302400.

The previous prime is 152159855253113. The next prime is 152159855253143. The reversal of 152159855253120 is 21352558951251.

152159855253120 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 5 + 9 + 85 + 5 + 2 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 850055057191 + ... + 850055057369.

It is an arithmetic number, because the mean of its divisors is an integer number (163612386000).

Almost surely, 2^{152159855253120} is an apocalyptic number.

152159855253120 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 152159855253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335078166528000).

152159855253120 is an abundant number, since it is smaller than the sum of its proper divisors (517996477802880).

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

152159855253120 is a wasteful number, since it uses less digits than its factorization.

152159855253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 54.

The spelling of 152159855253120 in words is "one hundred fifty-two trillion, one hundred fifty-nine billion, eight hundred fifty-five million, two hundred fifty-three thousand, one hundred twenty".