152566625452040 has 256 divisors, whose sum is σ = 362900669644800. Its totient is φ = 57651993216000.

The previous prime is 152566625451949. The next prime is 152566625452067. The reversal of 152566625452040 is 40254526665251.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5228630171 + ... + 5228659349.

It is an arithmetic number, because the mean of its divisors is an integer number (1417580740800).

Almost surely, 2^{152566625452040} is an apocalyptic number.

152566625452040 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 152566625452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181450334822400).

152566625452040 is an abundant number, since it is smaller than the sum of its proper divisors (210334044192760).

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

152566625452040 is a wasteful number, since it uses less digits than its factorization.

152566625452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29908 (or 29904 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 53.

The spelling of 152566625452040 in words is "one hundred fifty-two trillion, five hundred sixty-six billion, six hundred twenty-five million, four hundred fifty-two thousand, forty".