152171853120 has 896 divisors, whose sum is σ = 647044070400. Its totient is φ = 32928989184.

The previous prime is 152171853107. The next prime is 152171853137. The reversal of 152171853120 is 21358171251.

152171853120 is a `hidden beast` number, since 1 + 52 + 1 + 71 + 8 + 531 + 2 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92956942 + ... + 92958578.

It is an arithmetic number, because the mean of its divisors is an integer number (722147400).

Almost surely, 2^152171853120 is an apocalyptic number.

152171853120 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 152171853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323522035200).

152171853120 is an abundant number, since it is smaller than the sum of its proper divisors (494872217280).

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

152171853120 is a wasteful number, since it uses less digits than its factorization.

152171853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 152171853120 in words is "one hundred fifty-two billion, one hundred seventy-one million, eight hundred fifty-three thousand, one hundred twenty".