152100 has 81 divisors (see below), whose sum is σ = 516243. Its totient is φ = 37440.

The previous prime is 152093. The next prime is 152111. The reversal of 152100 is 1251.

Adding to 152100 its reverse (1251), we get a palindrome (153351).

It can be divided in two parts, 152 and 100, that added together give a palindrome (252).

152100 = T_{49} + T_{50} + ... +
T_{100}.

It is a happy number.

The square root of 152100 is 390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 112896 = 198^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 152100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11694 + ... + 11706.

2^{152100} is an apocalyptic number.

152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152100 is the 390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152100

152100 is an abundant number, since it is smaller than the sum of its proper divisors (364143).

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

152100 is a wasteful number, since it uses less digits than its factorization.

152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The cubic root of 152100 is about 53.3797339248.

The spelling of 152100 in words is "one hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 169 180 195 225 234 260 300 325 338 390 450 468 507 585 650 676 780 845 900 975 1014 1170 1300 1521 1690 1950 2028 2340 2535 2925 3042 3380 3900 4225 5070 5850 6084 7605 8450 10140 11700 12675 15210 16900 25350 30420 38025 50700 76050 152100

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