153066265336152 has 256 divisors, whose sum is σ = 487598880768000. Its totient is φ = 43582742032896.

The previous prime is 153066265336151. The next prime is 153066265336163. The reversal of 153066265336152 is 251633562660351.

153066265336152 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 6 + 626 + 5 + 3 + 3 + 6 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153066265336151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652369674 + ... + 652604262.

It is an arithmetic number, because the mean of its divisors is an integer number (1904683128000).

Almost surely, 2^{153066265336152} is an apocalyptic number.

153066265336152 is a gapful number since it is divisible by the number (12) 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 153066265336152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243799440384000).

153066265336152 is an abundant number, since it is smaller than the sum of its proper divisors (334532615431848).

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

153066265336152 is a wasteful number, since it uses less digits than its factorization.

153066265336152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236095 (or 236085 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 153066265336152 in words is "one hundred fifty-three trillion, sixty-six billion, two hundred sixty-five million, three hundred thirty-six thousand, one hundred fifty-two".