152827637760 has 1248 divisors, whose sum is σ = 649161257472. Its totient is φ = 33761525760.

The previous prime is 152827637717. The next prime is 152827637827. The reversal of 152827637760 is 67736728251.

It is a happy number.

152827637760 is a `hidden beast` number, since 1 + 528 + 27 + 6 + 37 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152827637697 and 152827637706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1428295627 + ... + 1428295733.

It is an arithmetic number, because the mean of its divisors is an integer number (520161264).

Almost surely, 2^152827637760 is an apocalyptic number.

152827637760 is a gapful number since it is divisible by the number (10) 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 152827637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324580628736).

152827637760 is an abundant number, since it is smaller than the sum of its proper divisors (496333619712).

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

152827637760 is an equidigital number, since it uses as much as digits as its factorization.

152827637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 152827637760 in words is "one hundred fifty-two billion, eight hundred twenty-seven million, six hundred thirty-seven thousand, seven hundred sixty".