151290000 has 225 divisors, whose sum is σ = 542302189. Its totient is φ = 39360000.

The previous prime is 151289969. The next prime is 151290001. The reversal of 151290000 is 92151.

The square root of 151290000 is 12300.

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

151290000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 150700176 + 589824 = 12276^2 + 768^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151290001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3689980 + ... + 3690020.

Almost surely, 2^151290000 is an apocalyptic number.

151290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151290000 is the 12300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151290000

151290000 is an abundant number, since it is smaller than the sum of its proper divisors (391012189).

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

151290000 is an equidigital number, since it uses as much as digits as its factorization.

151290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The cubic root of 151290000 is about 532.8480829371.

The spelling of 151290000 in words is "one hundred fifty-one million, two hundred ninety thousand".