153106566480 has 240 divisors, whose sum is σ = 589811249664. Its totient is φ = 34866339840.

The previous prime is 153106566461. The next prime is 153106566539. The reversal of 153106566480 is 84665601351.

153106566480 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 0 + 6 + 566 + 4 + 80 = 666.

153106566480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309792 + ... + 1421888.

Almost surely, 2^153106566480 is an apocalyptic number.

153106566480 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 153106566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294905624832).

153106566480 is an abundant number, since it is smaller than the sum of its proper divisors (436704683184).

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

153106566480 is a wasteful number, since it uses less digits than its factorization.

153106566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112394 (or 112385 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 153106566480 in words is "one hundred fifty-three billion, one hundred six million, five hundred sixty-six thousand, four hundred eighty".