152640 has 84 divisors (see below), whose sum is σ = 534924. Its totient is φ = 39936.

The previous prime is 152639. The next prime is 152641. The reversal of 152640 is 46251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152639) and next prime (152641).

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 69696 = 288^2 + 264^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152640.

It is not an unprimeable number, because it can be changed into a prime (152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854 + ... + 2906.

2¹⁵²⁶⁴⁰ is an apocalyptic number.

152640 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 152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267462).

152640 is an abundant number, since it is smaller than the sum of its proper divisors (382284).

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

152640 is a wasteful number, since it uses less digits than its factorization.

152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

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

The square root of 152640 is about 390.6916943064. The cubic root of 152640 is about 53.4428305958.

152640 divided by its product of nonzero digits (240) gives a palindrome (636).

Adding to 152640 its reverse (46251), we get a palindrome (198891).

The spelling of 152640 in words is "one hundred fifty-two thousand, six hundred forty".