152722475136 has 1536 divisors, whose sum is σ = 626174115840. Its totient is φ = 36130406400.

The previous prime is 152722475123. The next prime is 152722475149. The reversal of 152722475136 is 631574227251.

152722475136 is a `hidden beast` number, since 1 + 5 + 27 + 22 + 475 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (152722475123) and next prime (152722475149).

It is a super-2 number, since 2×152722475136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152722475091 and 152722475100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4926531441 + ... + 4926531471.

It is an arithmetic number, because the mean of its divisors is an integer number (407665440).

Almost surely, 2^152722475136 is an apocalyptic number.

152722475136 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 152722475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313087057920).

152722475136 is an abundant number, since it is smaller than the sum of its proper divisors (473451640704).

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

152722475136 is an equidigital number, since it uses as much as digits as its factorization.

152722475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 152722475136 in words is "one hundred fifty-two billion, seven hundred twenty-two million, four hundred seventy-five thousand, one hundred thirty-six".