152483627520 has 1440 divisors, whose sum is σ = 667374035328. Its totient is φ = 32678608896.

The previous prime is 152483627473. The next prime is 152483627521. The reversal of 152483627520 is 25726384251.

152483627520 is a `hidden beast` number, since 1 + 5 + 24 + 83 + 6 + 27 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (152483627521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571996112 + ... + 1571996208.

Almost surely, 2^152483627520 is an apocalyptic number.

152483627520 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 152483627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333687017664).

152483627520 is an abundant number, since it is smaller than the sum of its proper divisors (514890407808).

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

152483627520 is an frugal number, since it uses more digits than its factorization.

152483627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 152483627520 in words is "one hundred fifty-two billion, four hundred eighty-three million, six hundred twenty-seven thousand, five hundred twenty".