152799077376 has 704 divisors, whose sum is σ = 537027993600. Its totient is φ = 42400972800.

The previous prime is 152799077371. The next prime is 152799077377. The reversal of 152799077376 is 673770997251.

152799077376 is a `hidden beast` number, since 1 + 527 + 9 + 9 + 0 + 77 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (152799077371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179130966 + ... + 179131818.

Almost surely, 2^152799077376 is an apocalyptic number.

152799077376 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 152799077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268513996800).

152799077376 is an abundant number, since it is smaller than the sum of its proper divisors (384228916224).

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

152799077376 is a wasteful number, since it uses less digits than its factorization.

152799077376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 152799077376 in words is "one hundred fifty-two billion, seven hundred ninety-nine million, seventy-seven thousand, three hundred seventy-six".