151668720 has 240 divisors, whose sum is σ = 608130720. Its totient is φ = 34642944.

The previous prime is 151668691. The next prime is 151668721. The reversal of 151668720 is 27866151.

It is a tau number, because it is divible by the number of its divisors (240).

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 (151668721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105124 + ... + 106556.

It is an arithmetic number, because the mean of its divisors is an integer number (2533878).

Almost surely, 2^151668720 is an apocalyptic number.

151668720 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 151668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304065360).

151668720 is an abundant number, since it is smaller than the sum of its proper divisors (456462000).

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

151668720 is a wasteful number, since it uses less digits than its factorization.

151668720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 151668720 is about 12315.3854994474. The cubic root of 151668720 is about 533.2923336538.

The spelling of 151668720 in words is "one hundred fifty-one million, six hundred sixty-eight thousand, seven hundred twenty".