153079736832 has 300 divisors, whose sum is σ = 486189496650. Its totient is φ = 46367354880.

The previous prime is 153079736809. The next prime is 153079736897. The reversal of 153079736832 is 238637970351.

153079736832 is a `hidden beast` number, since 1 + 530 + 7 + 9 + 73 + 6 + 8 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151426826496 + 1652910336 = 389136^2 + 40656^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 67464594 + ... + 67466862.

Almost surely, 2^153079736832 is an apocalyptic number.

153079736832 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 153079736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243094748325).

153079736832 is an abundant number, since it is smaller than the sum of its proper divisors (333109759818).

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

153079736832 is an frugal number, since it uses more digits than its factorization.

153079736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 153079736832 in words is "one hundred fifty-three billion, seventy-nine million, seven hundred thirty-six thousand, eight hundred thirty-two".