153390336 has 144 divisors (see below), whose sum is σ = 453669888. Its totient is φ = 45619200.

The previous prime is 153390329. The next prime is 153390361. The reversal of 153390336 is 633093351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 153390297 and 153390306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565881 + ... + 566151.

Almost surely, 2^153390336 is an apocalyptic number.

153390336 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 153390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226834944).

153390336 is an abundant number, since it is smaller than the sum of its proper divisors (300279552).

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

153390336 is a wasteful number, since it uses less digits than its factorization.

153390336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 153390336 is about 12385.0852237681. The cubic root of 153390336 is about 535.3025755163.

The spelling of 153390336 in words is "one hundred fifty-three million, three hundred ninety thousand, three hundred thirty-six".