151987600 has 60 divisors (see below), whose sum is σ = 371195860. Its totient is φ = 59788800.

The previous prime is 151987573. The next prime is 151987673. The reversal of 151987600 is 6789151.

It can be written as a sum of positive squares in 6 ways, for example, as 27709696 + 124277904 = 5264^2 + 11148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151987600.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21286 + ... + 27514.

Almost surely, 2^151987600 is an apocalyptic number.

151987600 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 151987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185597930).

151987600 is an abundant number, since it is smaller than the sum of its proper divisors (219208260).

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

151987600 is a wasteful number, since it uses less digits than its factorization.

151987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 151987600 is about 12328.3251092758. The cubic root of 151987600 is about 533.6658169899.

The spelling of 151987600 in words is "one hundred fifty-one million, nine hundred eighty-seven thousand, six hundred".