152460 has 108 divisors (see below), whose sum is σ = 580944. Its totient is φ = 31680.

The previous prime is 152459. The next prime is 152461. The reversal of 152460 is 64251.

152460 = T₄₄ + T₄₅ + ... + T₉₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152459) and next prime (152461).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (152461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13855 + ... + 13865.

152460 is a Friedman number, since it can be written as 25410*6, using all its digits and the basic arithmetic operations.

2¹⁵²⁴⁶⁰ is an apocalyptic number.

152460 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 152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290472).

152460 is an abundant number, since it is smaller than the sum of its proper divisors (428484).

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

152460 is a wasteful number, since it uses less digits than its factorization.

152460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152460 is about 390.4612656846. The cubic root of 152460 is about 53.4218149308.

Subtracting from 152460 its reverse (64251), we obtain a square (88209 = 297²).

The spelling of 152460 in words is "one hundred fifty-two thousand, four hundred sixty".