152022915072 has 864 divisors, whose sum is σ = 556451400960. Its totient is φ = 40609382400.

The previous prime is 152022915071. The next prime is 152022915073. The reversal of 152022915072 is 270519220251.

It is an interprime number because it is at equal distance from previous prime (152022915071) and next prime (152022915073).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×152022915072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152022915071) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1006774197 + ... + 1006774347.

Almost surely, 2^152022915072 is an apocalyptic number.

152022915072 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 152022915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278225700480).

152022915072 is an abundant number, since it is smaller than the sum of its proper divisors (404428485888).

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

152022915072 is an equidigital number, since it uses as much as digits as its factorization.

152022915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 152022915072 in words is "one hundred fifty-two billion, twenty-two million, nine hundred fifteen thousand, seventy-two".