152076464 has 40 divisors (see below), whose sum is σ = 305888160. Its totient is φ = 73156608.

The previous prime is 152076461. The next prime is 152076467. The reversal of 152076464 is 464670251.

It is an interprime number because it is at equal distance from previous prime (152076461) and next prime (152076467).

It is not an unprimeable number, because it can be changed into a prime (152076461) 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 7 ways as a sum of consecutive naturals, for example, 225632 + ... + 226304.

It is an arithmetic number, because the mean of its divisors is an integer number (7647204).

Almost surely, 2^152076464 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 152076464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152944080).

152076464 is an abundant number, since it is smaller than the sum of its proper divisors (153811696).

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

152076464 is a wasteful number, since it uses less digits than its factorization.

152076464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 152076464 is about 12331.9286407277. The cubic root of 152076464 is about 533.7698045073.

The spelling of 152076464 in words is "one hundred fifty-two million, seventy-six thousand, four hundred sixty-four".