153599685009156 has 81 divisors (see below), whose sum is σ = 389724875462559. Its totient is φ = 51008216606208.

The previous prime is 153599685009139. The next prime is 153599685009157. The reversal of 153599685009156 is 651900586995351.

It is a happy number.

The square root of 153599685009156 is 12393534.

It is a perfect power (a square), and thus also a powerful number.

153599685009156 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 9 + 9 + 68 + 500 + 9 + 1 + 56 = 666.

153599685009156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43523496450756 + 110076188558400 = 6597234^2 + 10491720^2 .

It is not an unprimeable number, because it can be changed into a prime (153599685009157) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20598049780 + ... + 20598057236.

Almost surely, 2^{153599685009156} is an apocalyptic number.

153599685009156 is the 12393534-th square number.

It is an amenable number.

153599685009156 is an abundant number, since it is smaller than the sum of its proper divisors (236125190453403).

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

153599685009156 is an frugal number, since it uses more digits than its factorization.

153599685009156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 393660000, while the sum is 72.

The spelling of 153599685009156 in words is "one hundred fifty-three trillion, five hundred ninety-nine billion, six hundred eighty-five million, nine thousand, one hundred fifty-six".