151976064 has 64 divisors (see below), whose sum is σ = 406514880. Its totient is φ = 50304000.

The previous prime is 151976063. The next prime is 151976081. The reversal of 151976064 is 460679151.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (151976063) 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 7 ways as a sum of consecutive naturals, for example, 56674 + ... + 59294.

It is an arithmetic number, because the mean of its divisors is an integer number (6351795).

Almost surely, 2^151976064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203257440).

151976064 is an abundant number, since it is smaller than the sum of its proper divisors (254538816).

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

151976064 is a wasteful number, since it uses less digits than its factorization.

151976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 151976064 is about 12327.8572347347. The cubic root of 151976064 is about 533.6523147379.

The spelling of 151976064 in words is "one hundred fifty-one million, nine hundred seventy-six thousand, sixty-four".