152216064 has 480 divisors, whose sum is σ = 609544320. Its totient is φ = 36495360.

The previous prime is 152216059. The next prime is 152216069. The reversal of 152216064 is 460612251.

152216064 is a `hidden beast` number, since 1 + 52 + 2 + 1 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (152216059) and next prime (152216069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152216069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11708922 + ... + 11708934.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884).

Almost surely, 2^152216064 is an apocalyptic number.

152216064 is a gapful number since it is divisible by the number (14) 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 152216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304772160).

152216064 is an abundant number, since it is smaller than the sum of its proper divisors (457328256).

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

152216064 is a wasteful number, since it uses less digits than its factorization.

152216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152216064 is about 12337.5874464986. The cubic root of 152216064 is about 533.9330808707.

The spelling of 152216064 in words is "one hundred fifty-two million, two hundred sixteen thousand, sixty-four".