151298280 has 240 divisors, whose sum is σ = 592176420. Its totient is φ = 34546176.

The previous prime is 151298269. The next prime is 151298281. The reversal of 151298280 is 82892151.

It can be written as a sum of positive squares in 2 ways, for example, as 149377284 + 1920996 = 12222^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151298281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158284 + ... + 159236.

Almost surely, 2^151298280 is an apocalyptic number.

151298280 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 151298280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296088210).

151298280 is an abundant number, since it is smaller than the sum of its proper divisors (440878140).

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

151298280 is a wasteful number, since it uses less digits than its factorization.

151298280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 151298280 is about 12300.3365807607. The cubic root of 151298280 is about 532.8578035655.

It can be divided in two parts, 15129 and 8280, that added together give a square (23409 = 153²).

The spelling of 151298280 in words is "one hundred fifty-one million, two hundred ninety-eight thousand, two hundred eighty".