152262016 has 32 divisors (see below), whose sum is σ = 306306000. Its totient is φ = 75385344.

The previous prime is 152262007. The next prime is 152262023. The reversal of 152262016 is 610262251.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7410 + ... + 18958.

Almost surely, 2^152262016 is an apocalyptic number.

152262016 is a gapful number since it is divisible by the number (16) 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 152262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153153000).

152262016 is an abundant number, since it is smaller than the sum of its proper divisors (154043984).

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

152262016 is a wasteful number, since it uses less digits than its factorization.

152262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11666 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 152262016 is about 12339.4495825381. The cubic root of 152262016 is about 533.9868045573.

The spelling of 152262016 in words is "one hundred fifty-two million, two hundred sixty-two thousand, sixteen".