152564040240 has 160 divisors (see below), whose sum is σ = 481094374656. Its totient is φ = 39984122880.

The previous prime is 152564040227. The next prime is 152564040263. The reversal of 152564040240 is 42040465251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21707607 + ... + 21714633.

Almost surely, 2^152564040240 is an apocalyptic number.

152564040240 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 152564040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240547187328).

152564040240 is an abundant number, since it is smaller than the sum of its proper divisors (328530334416).

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

152564040240 is a wasteful number, since it uses less digits than its factorization.

152564040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 152564040240 in words is "one hundred fifty-two billion, five hundred sixty-four million, forty thousand, two hundred forty".