152505205536 has 48 divisors (see below), whose sum is σ = 400367772000. Its totient is φ = 50829785088.

The previous prime is 152505205487. The next prime is 152505205543. The reversal of 152505205536 is 635502505251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 152505205494 and 152505205503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907440 + ... + 1062288.

It is an arithmetic number, because the mean of its divisors is an integer number (8340995250).

Almost surely, 2^152505205536 is an apocalyptic number.

152505205536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152505205536 is an abundant number, since it is smaller than the sum of its proper divisors (247862566464).

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

152505205536 is a wasteful number, since it uses less digits than its factorization.

152505205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165121 (or 165113 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 152505205536 in words is "one hundred fifty-two billion, five hundred five million, two hundred five thousand, five hundred thirty-six".