151680672 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 40642560.

The previous prime is 151680631. The next prime is 151680677. The reversal of 151680672 is 276086151.

151680672 is a `hidden beast` number, since 1 + 516 + 80 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (151680677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194273 + ... + 1194399.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^151680672 is an apocalyptic number.

151680672 is a gapful number since it is divisible by the number (12) 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 151680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

151680672 is an abundant number, since it is smaller than the sum of its proper divisors (376672608).

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

151680672 is a wasteful number, since it uses less digits than its factorization.

151680672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

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

The square root of 151680672 is about 12315.8707365740. The cubic root of 151680672 is about 533.3063416895.

The spelling of 151680672 in words is "one hundred fifty-one million, six hundred eighty thousand, six hundred seventy-two".