151983360 has 216 divisors, whose sum is σ = 535691520. Its totient is φ = 39776256.

The previous prime is 151983353. The next prime is 151983361. The reversal of 151983360 is 63389151.

It is a happy number.

151983360 is a `hidden beast` number, since 1 + 519 + 83 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151983361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909997 + ... + 910163.

Almost surely, 2^151983360 is an apocalyptic number.

151983360 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 151983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

151983360 is an abundant number, since it is smaller than the sum of its proper divisors (383708160).

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

151983360 is a wasteful number, since it uses less digits than its factorization.

151983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 151983360 is about 12328.1531463557. The cubic root of 151983360 is about 533.6608543831.

The spelling of 151983360 in words is "one hundred fifty-one million, nine hundred eighty-three thousand, three hundred sixty".