151075360 has 48 divisors (see below), whose sum is σ = 358802136. Its totient is φ = 60110848.

The previous prime is 151075279. The next prime is 151075361. The reversal of 151075360 is 63570151.

It can be written as a sum of positive squares in 4 ways, for example, as 150503824 + 571536 = 12268^2 + 756^2 .

It is not an unprimeable number, because it can be changed into a prime (151075361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29124 + ... + 33916.

Almost surely, 2^151075360 is an apocalyptic number.

151075360 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 151075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179401068).

151075360 is an abundant number, since it is smaller than the sum of its proper divisors (207726776).

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

151075360 is a wasteful number, since it uses less digits than its factorization.

151075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 151075360 is about 12291.2716998690. The cubic root of 151075360 is about 532.5959740904.

The spelling of 151075360 in words is "one hundred fifty-one million, seventy-five thousand, three hundred sixty".