152220511872 has 1536 divisors, whose sum is σ = 591338880000. Its totient is φ = 38041436160.

The previous prime is 152220511823. The next prime is 152220511879. The reversal of 152220511872 is 278115022251.

152220511872 is a `hidden beast` number, since 1 + 52 + 2 + 20 + 511 + 8 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152220511879) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3540011883 + ... + 3540011925.

It is an arithmetic number, because the mean of its divisors is an integer number (384986250).

Almost surely, 2^152220511872 is an apocalyptic number.

152220511872 is a gapful number since it is divisible by the number (12) 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 152220511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295669440000).

152220511872 is an abundant number, since it is smaller than the sum of its proper divisors (439118368128).

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

152220511872 is a wasteful number, since it uses less digits than its factorization.

152220511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 152220511872 in words is "one hundred fifty-two billion, two hundred twenty million, five hundred eleven thousand, eight hundred seventy-two".