152700 has 36 divisors (see below), whose sum is σ = 442680. Its totient is φ = 40640.

The previous prime is 152681. The next prime is 152717. The reversal of 152700 is 7251.

It is a happy number.

152700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 152700.

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 152700.

It is an unprimeable number.

152700 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 11 ways as a sum of consecutive naturals, for example, 46 + ... + 554.

2¹⁵²⁷⁰⁰ is an apocalyptic number.

152700 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 152700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221340).

152700 is an abundant number, since it is smaller than the sum of its proper divisors (289980).

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

152700 is a wasteful number, since it uses less digits than its factorization.

152700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 152700 is about 390.7684736516. The cubic root of 152700 is about 53.4498321458.

Adding to 152700 its reverse (7251), we get a palindrome (159951).

The spelling of 152700 in words is "one hundred fifty-two thousand, seven hundred".