152873715456 has 1458 divisors, whose sum is σ = 613996227936. Its totient is φ = 36404121600.

The previous prime is 152873715433. The next prime is 152873715473. The reversal of 152873715456 is 654517378251.

152873715456 is a `hidden beast` number, since 1 + 5 + 28 + 7 + 3 + 71 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 4931410161 + ... + 4931410191.

Almost surely, 2^152873715456 is an apocalyptic number.

152873715456 is a gapful number since it is divisible by the number (16) 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 152873715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306998113968).

152873715456 is an abundant number, since it is smaller than the sum of its proper divisors (461122512480).

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

152873715456 is a wasteful number, since it uses less digits than its factorization.

152873715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 152873715456 in words is "one hundred fifty-two billion, eight hundred seventy-three million, seven hundred fifteen thousand, four hundred fifty-six".