152875247616 has 1440 divisors, whose sum is σ = 609339931200. Its totient is φ = 37265080320.

The previous prime is 152875247573. The next prime is 152875247741. The reversal of 152875247616 is 616742578251.

It is a happy number.

152875247616 is a `hidden beast` number, since 1 + 52 + 8 + 7 + 524 + 7 + 61 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3728664556 + ... + 3728664596.

It is an arithmetic number, because the mean of its divisors is an integer number (423152730).

Almost surely, 2^152875247616 is an apocalyptic number.

152875247616 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 152875247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304669965600).

152875247616 is an abundant number, since it is smaller than the sum of its proper divisors (456464683584).

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

152875247616 is a wasteful number, since it uses less digits than its factorization.

152875247616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 152875247616 in words is "one hundred fifty-two billion, eight hundred seventy-five million, two hundred forty-seven thousand, six hundred sixteen".