152760 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 38016.

The previous prime is 152753. The next prime is 152767. The reversal of 152760 is 67251.

It is an interprime number because it is at equal distance from previous prime (152753) and next prime (152767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152767) by changing a digit.

152760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁵²⁷⁶⁰ is an apocalyptic number.

152760 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 152760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

152760 is an abundant number, since it is smaller than the sum of its proper divisors (336840).

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

152760 is a wasteful number, since it uses less digits than its factorization.

152760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 152760 is about 390.8452379139. The cubic root of 152760 is about 53.4568318619.

It can be divided in two parts, 15 and 2760, that added together give a triangular number (2775 = T₇₄).

The spelling of 152760 in words is "one hundred fifty-two thousand, seven hundred sixty".