151290560 has 56 divisors (see below), whose sum is σ = 361437936. Its totient is φ = 60318720.

The previous prime is 151290551. The next prime is 151290589. The reversal of 151290560 is 65092151.

It is a super-3 number, since 3×151290560³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134159 + ... + 135281.

Almost surely, 2^151290560 is an apocalyptic number.

151290560 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 151290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180718968).

151290560 is an abundant number, since it is smaller than the sum of its proper divisors (210147376).

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

151290560 is a wasteful number, since it uses less digits than its factorization.

151290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 151290560 is about 12300.0227642066. The cubic root of 151290560 is about 532.8487403820.

The spelling of 151290560 in words is "one hundred fifty-one million, two hundred ninety thousand, five hundred sixty".