153765008640 has 180 divisors, whose sum is σ = 550199690964. Its totient is φ = 41003974656.

The previous prime is 153765008627. The next prime is 153765008641. The reversal of 153765008640 is 46800567351.

153765008640 is a `hidden beast` number, since 1 + 537 + 6 + 50 + 0 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75964179456 + 77800829184 = 275616^2 + 278928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153765008641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 637857 + ... + 845216.

Almost surely, 2^153765008640 is an apocalyptic number.

153765008640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153765008640 is an abundant number, since it is smaller than the sum of its proper divisors (396434682324).

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

153765008640 is an equidigital number, since it uses as much as digits as its factorization.

153765008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483106 (or 1483083 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 153765008640 in words is "one hundred fifty-three billion, seven hundred sixty-five million, eight thousand, six hundred forty".