152507266560 has 2240 divisors, whose sum is σ = 695571909120. Its totient is φ = 31531991040.

The previous prime is 152507266559. The next prime is 152507266607. The reversal of 152507266560 is 65662705251.

152507266560 is a `hidden beast` number, since 1 + 5 + 2 + 507 + 26 + 65 + 60 = 666.

152507266560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 6630750709 + ... + 6630750731.

Almost surely, 2^152507266560 is an apocalyptic number.

152507266560 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 152507266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347785954560).

152507266560 is an abundant number, since it is smaller than the sum of its proper divisors (543064642560).

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

152507266560 is a wasteful number, since it uses less digits than its factorization.

152507266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 152507266560 in words is "one hundred fifty-two billion, five hundred seven million, two hundred sixty-six thousand, five hundred sixty".