152666900 has 54 divisors (see below), whose sum is σ = 349723710. Its totient is φ = 57839040.

The previous prime is 152666879. The next prime is 152666911. The reversal of 152666900 is 9666251.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 50495236 + 102171664 = 7106^2 + 10108^2 .

It is a super-2 number, since 2×152666900² = 46614364711220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33986 + ... + 38214.

It is an arithmetic number, because the mean of its divisors is an integer number (6476365).

Almost surely, 2^152666900 is an apocalyptic number.

152666900 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 152666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174861855).

152666900 is an abundant number, since it is smaller than the sum of its proper divisors (197056810).

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

152666900 is a wasteful number, since it uses less digits than its factorization.

152666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 152666900 is about 12355.8447707957. The cubic root of 152666900 is about 534.4596985087.

The spelling of 152666900 in words is "one hundred fifty-two million, six hundred sixty-six thousand, nine hundred".