151665600 has 168 divisors, whose sum is σ = 524093440. Its totient is φ = 38292480.

The previous prime is 151665589. The next prime is 151665607. The reversal of 151665600 is 6566151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151665607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90369 + ... + 92031.

Almost surely, 2^151665600 is an apocalyptic number.

151665600 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 151665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262046720).

151665600 is an abundant number, since it is smaller than the sum of its proper divisors (372427840).

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

151665600 is a wasteful number, since it uses less digits than its factorization.

151665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 151665600 is about 12315.2588279743. The cubic root of 151665600 is about 533.2886768165.

The spelling of 151665600 in words is "one hundred fifty-one million, six hundred sixty-five thousand, six hundred".