152646016 has 64 divisors (see below), whose sum is σ = 315816480. Its totient is φ = 73433088.

The previous prime is 152645951. The next prime is 152646017. The reversal of 152646016 is 610646251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152646017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790816 + ... + 791008.

Almost surely, 2^152646016 is an apocalyptic number.

152646016 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 152646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157908240).

152646016 is an abundant number, since it is smaller than the sum of its proper divisors (163170464).

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

152646016 is a wasteful number, since it uses less digits than its factorization.

152646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 152646016 is about 12354.9996357750. Note that the first 3 decimals coincide. The cubic root of 152646016 is about 534.4353270059.

The spelling of 152646016 in words is "one hundred fifty-two million, six hundred forty-six thousand, sixteen".