152081221600 has 324 divisors, whose sum is σ = 474729740352. Its totient is φ = 47400460800.

The previous prime is 152081221597. The next prime is 152081221601. The reversal of 152081221600 is 6122180251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152081221601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4727169 + ... + 4759231.

It is an arithmetic number, because the mean of its divisors is an integer number (1465215248).

Almost surely, 2^152081221600 is an apocalyptic number.

152081221600 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 152081221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237364870176).

152081221600 is an abundant number, since it is smaller than the sum of its proper divisors (322648518752).

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

152081221600 is a wasteful number, since it uses less digits than its factorization.

152081221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32119 (or 32088 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 152081221600 in words is "one hundred fifty-two billion, eighty-one million, two hundred twenty-one thousand, six hundred".