152876408832 has 896 divisors, whose sum is σ = 557137336320. Its totient is φ = 40991588352.

The previous prime is 152876408819. The next prime is 152876408833. The reversal of 152876408832 is 238804678251.

152876408832 is a `hidden beast` number, since 1 + 528 + 7 + 6 + 4 + 0 + 88 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152876408833) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2884460518 + ... + 2884460570.

Almost surely, 2^152876408832 is an apocalyptic number.

152876408832 is a gapful number since it is divisible by the number (12) 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 152876408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278568668160).

152876408832 is an abundant number, since it is smaller than the sum of its proper divisors (404260927488).

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

152876408832 is an frugal number, since it uses more digits than its factorization.

152876408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 152876408832 in words is "one hundred fifty-two billion, eight hundred seventy-six million, four hundred eight thousand, eight hundred thirty-two".