152117664 has 48 divisors (see below), whose sum is σ = 400800960. Its totient is φ = 50516480.

The previous prime is 152117657. The next prime is 152117677. The reversal of 152117664 is 466711251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×152117664³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24157 + ... + 29795.

It is an arithmetic number, because the mean of its divisors is an integer number (8350020).

Almost surely, 2^152117664 is an apocalyptic number.

It is an amenable number.

152117664 is an abundant number, since it is smaller than the sum of its proper divisors (248683296).

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

152117664 is a wasteful number, since it uses less digits than its factorization.

152117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5925 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 152117664 is about 12333.5989881299. The cubic root of 152117664 is about 533.8180024768.

The spelling of 152117664 in words is "one hundred fifty-two million, one hundred seventeen thousand, six hundred sixty-four".