152218100 has 36 divisors (see below), whose sum is σ = 341709900. Its totient is φ = 58786560.

The previous prime is 152218061. The next prime is 152218127. The reversal of 152218100 is 1812251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14531344 + 137686756 = 3812^2 + 11734^2 .

It is a super-2 number, since 2×152218100² = 46340699935220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23345 + ... + 29144.

Almost surely, 2^152218100 is an apocalyptic number.

152218100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152218100 is an abundant number, since it is smaller than the sum of its proper divisors (189491800).

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

152218100 is a wasteful number, since it uses less digits than its factorization.

152218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52532 (or 52525 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 152218100 is about 12337.6699583025. The cubic root of 152218100 is about 533.9354614405.

The spelling of 152218100 in words is "one hundred fifty-two million, two hundred eighteen thousand, one hundred".