152726599872 has 896 divisors, whose sum is σ = 588274728960. Its totient is φ = 37698048000.

The previous prime is 152726599867. The next prime is 152726599967. The reversal of 152726599872 is 278995627251.

152726599872 is a `hidden beast` number, since 1 + 527 + 26 + 5 + 9 + 9 + 87 + 2 = 666.

152726599872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×152726599872³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251608593 + ... + 251609199.

Almost surely, 2^152726599872 is an apocalyptic number.

152726599872 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 152726599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294137364480).

152726599872 is an abundant number, since it is smaller than the sum of its proper divisors (435548129088).

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

152726599872 is a wasteful number, since it uses less digits than its factorization.

152726599872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 722 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 152726599872 in words is "one hundred fifty-two billion, seven hundred twenty-six million, five hundred ninety-nine thousand, eight hundred seventy-two".