153386016 has 192 divisors, whose sum is σ = 490291200. Its totient is φ = 41057280.

The previous prime is 153385949. The next prime is 153386021. The reversal of 153386016 is 610683351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770685 + ... + 770883.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^153386016 is an apocalyptic number.

153386016 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 153386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

153386016 is an abundant number, since it is smaller than the sum of its proper divisors (336905184).

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

153386016 is a wasteful number, since it uses less digits than its factorization.

153386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 153386016 is about 12384.9108192187. The cubic root of 153386016 is about 535.2975501479.

It can be divided in two parts, 1533860 and 16, that added together give a triangular number (1533876 = T₁₇₅₁).

The spelling of 153386016 in words is "one hundred fifty-three million, three hundred eighty-six thousand, sixteen".