152720064 has 168 divisors, whose sum is σ = 511149600. Its totient is φ = 43577856.

The previous prime is 152720059. The next prime is 152720093. The reversal of 152720064 is 460027251.

It is a tau number, because it is divible by the number of its divisors (168).

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, 197182 + ... + 197954.

Almost surely, 2^152720064 is an apocalyptic number.

152720064 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 152720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255574800).

152720064 is an abundant number, since it is smaller than the sum of its proper divisors (358429536).

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

152720064 is an equidigital number, since it uses as much as digits as its factorization.

152720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 152720064 is about 12357.9959540372. The cubic root of 152720064 is about 534.5217305488.

The spelling of 152720064 in words is "one hundred fifty-two million, seven hundred twenty thousand, sixty-four".