153366864 has 120 divisors (see below), whose sum is σ = 464622048. Its totient is φ = 43464960.

The previous prime is 153366833. The next prime is 153366869. The reversal of 153366864 is 468663351.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (311040) is a multiple of the sum of its prime divisors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153366869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463179 + ... + 463509.

Almost surely, 2^153366864 is an apocalyptic number.

153366864 is a gapful number since it is divisible by the number (14) 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 153366864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232311024).

153366864 is an abundant number, since it is smaller than the sum of its proper divisors (311255184).

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

153366864 is a wasteful number, since it uses less digits than its factorization.

153366864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 153366864 is about 12384.1375961348. The cubic root of 153366864 is about 535.2752698782.

The spelling of 153366864 in words is "one hundred fifty-three million, three hundred sixty-six thousand, eight hundred sixty-four".