152212304000 has 64 divisors (see below), whose sum is σ = 378437880600. Its totient is φ = 60884915200.

The previous prime is 152212303949. The next prime is 152212304009. The reversal of 152212304000 is 403212251.

It can be written as a sum of positive squares in 4 ways, for example, as 41887352896 + 110324951104 = 204664^2 + 332152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×152212304000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (152212304009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4740635 + ... + 4772634.

Almost surely, 2^152212304000 is an apocalyptic number.

152212304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152212304000 is an abundant number, since it is smaller than the sum of its proper divisors (226225576600).

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

152212304000 is an frugal number, since it uses more digits than its factorization.

152212304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9513298 (or 9513276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 152212304000 its reverse (403212251), we get a palindrome (152615516251).

The spelling of 152212304000 in words is "one hundred fifty-two billion, two hundred twelve million, three hundred four thousand".