153349812 has 144 divisors (see below), whose sum is σ = 493584000. Its totient is φ = 39795840.

The previous prime is 153349789. The next prime is 153349813. The reversal of 153349812 is 218943351.

153349812 is a `hidden beast` number, since 1 + 533 + 49 + 81 + 2 = 666.

153349812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153349813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135264 + ... + 136392.

Almost surely, 2^153349812 is an apocalyptic number.

153349812 is a gapful number since it is divisible by the number (12) 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 153349812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246792000).

153349812 is an abundant number, since it is smaller than the sum of its proper divisors (340234188).

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

153349812 is a wasteful number, since it uses less digits than its factorization.

153349812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1152 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 153349812 is about 12383.4491156543. The cubic root of 153349812 is about 535.2554310596.

The spelling of 153349812 in words is "one hundred fifty-three million, three hundred forty-nine thousand, eight hundred twelve".