152052610500 has 216 divisors, whose sum is σ = 557990446104. Its totient is φ = 34754832000.

The previous prime is 152052610471. The next prime is 152052610513. The reversal of 152052610500 is 5016250251.

152052610500 is a `hidden beast` number, since 1 + 52 + 0 + 52 + 61 + 0 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38817668484 + 113234942016 = 197022^2 + 336504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124291 + ... + 565290.

Almost surely, 2^152052610500 is an apocalyptic number.

152052610500 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 152052610500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278995223052).

152052610500 is an abundant number, since it is smaller than the sum of its proper divisors (405937835604).

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

152052610500 is a wasteful number, since it uses less digits than its factorization.

152052610500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689620 (or 689598 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 152052610500 its reverse (5016250251), we get a palindrome (157068860751).

The spelling of 152052610500 in words is "one hundred fifty-two billion, fifty-two million, six hundred ten thousand, five hundred".