152043756480 has 896 divisors, whose sum is σ = 671535360000. Its totient is φ = 31461212160.

The previous prime is 152043756433. The next prime is 152043756481. The reversal of 152043756480 is 84657340251.

152043756480 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 4 + 3 + 7 + 564 + 80 = 666.

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 (152043756481) 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 127 ways as a sum of consecutive naturals, for example, 298710466 + ... + 298710974.

Almost surely, 2^152043756480 is an apocalyptic number.

152043756480 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 152043756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335767680000).

152043756480 is an abundant number, since it is smaller than the sum of its proper divisors (519491603520).

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

152043756480 is a wasteful number, since it uses less digits than its factorization.

152043756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 152043756480 in words is "one hundred fifty-two billion, forty-three million, seven hundred fifty-six thousand, four hundred eighty".