152152522021200 has 240 divisors, whose sum is σ = 535354047290880. Its totient is φ = 36767291235840.

The previous prime is 152152522021183. The next prime is 152152522021207. The reversal of 152152522021200 is 2120225251251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152152522021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144548562 + ... + 145597361.

It is an arithmetic number, because the mean of its divisors is an integer number (2230641863712).

Almost surely, 2^{152152522021200} is an apocalyptic number.

152152522021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152152522021200 is an abundant number, since it is smaller than the sum of its proper divisors (383201525269680).

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

152152522021200 is a wasteful number, since it uses less digits than its factorization.

152152522021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290145986 (or 290145975 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 152152522021200 its reverse (2120225251251), we get a palindrome (154272747272451).

The spelling of 152152522021200 in words is "one hundred fifty-two trillion, one hundred fifty-two billion, five hundred twenty-two million, twenty-one thousand, two hundred".