152314760 has 64 divisors (see below), whose sum is σ = 370440000. Its totient is φ = 56030976.

The previous prime is 152314709. The next prime is 152314777. The reversal of 152314760 is 67413251.

It is a super-2 number, since 2×152314760² = 46399572227715200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259187 + ... + 259773.

It is an arithmetic number, because the mean of its divisors is an integer number (5788125).

Almost surely, 2^152314760 is an apocalyptic number.

152314760 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 152314760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185220000).

152314760 is an abundant number, since it is smaller than the sum of its proper divisors (218125240).

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

152314760 is a wasteful number, since it uses less digits than its factorization.

152314760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 152314760 is about 12341.5866078880. The cubic root of 152314760 is about 534.0484556272.

It can be divided in two parts, 15231 and 4760, that added together give a palindrome (19991).

The spelling of 152314760 in words is "one hundred fifty-two million, three hundred fourteen thousand, seven hundred sixty".