151982064 has 120 divisors (see below), whose sum is σ = 482278160. Its totient is φ = 44292096.

The previous prime is 151982027. The next prime is 151982087. The reversal of 151982064 is 460289151.

151982064 is a `hidden beast` number, since 1 + 519 + 82 + 0 + 64 = 666.

151982064 is nontrivially palindromic in base 7.

151982064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33432 + ... + 37704.

Almost surely, 2^151982064 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 151982064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241139080).

151982064 is an abundant number, since it is smaller than the sum of its proper divisors (330296096).

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

151982064 is a wasteful number, since it uses less digits than its factorization.

151982064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 151982064 is about 12328.1005836260. The cubic root of 151982064 is about 533.6593374924.

The spelling of 151982064 in words is "one hundred fifty-one million, nine hundred eighty-two thousand, sixty-four".