152040535200 has 432 divisors, whose sum is σ = 552704312160. Its totient is φ = 39305226240.

The previous prime is 152040535139. The next prime is 152040535211. The reversal of 152040535200 is 2535040251.

It is a happy number.

152040535200 is a `hidden beast` number, since 1 + 5 + 20 + 405 + 35 + 200 = 666.

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, 43032634 + ... + 43036166.

It is an arithmetic number, because the mean of its divisors is an integer number (1279408130).

Almost surely, 2^152040535200 is an apocalyptic number.

152040535200 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 152040535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276352156080).

152040535200 is an abundant number, since it is smaller than the sum of its proper divisors (400663776960).

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

152040535200 is a wasteful number, since it uses less digits than its factorization.

152040535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 152040535200 its reverse (2535040251), we get a palindrome (154575575451).

The spelling of 152040535200 in words is "one hundred fifty-two billion, forty million, five hundred thirty-five thousand, two hundred".