151340064 has 96 divisors (see below), whose sum is σ = 412304256. Its totient is φ = 48568320.

The previous prime is 151340053. The next prime is 151340071. The reversal of 151340064 is 460043151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486469 + ... + 486779.

It is an arithmetic number, because the mean of its divisors is an integer number (4294836).

Almost surely, 2^151340064 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 151340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206152128).

151340064 is an abundant number, since it is smaller than the sum of its proper divisors (260964192).

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

151340064 is a wasteful number, since it uses less digits than its factorization.

151340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 151340064 is about 12302.0349536164. The cubic root of 151340064 is about 532.9068521098.

The spelling of 151340064 in words is "one hundred fifty-one million, three hundred forty thousand, sixty-four".