153213984 has 384 divisors, whose sum is σ = 580608000. Its totient is φ = 38949120.

The previous prime is 153213961. The next prime is 153214021. The reversal of 153213984 is 489312351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259849 + ... + 3259895.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^153213984 is an apocalyptic number.

153213984 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 153213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

153213984 is an abundant number, since it is smaller than the sum of its proper divisors (427394016).

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

153213984 is a wasteful number, since it uses less digits than its factorization.

153213984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

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

The square root of 153213984 is about 12377.9636451235. The cubic root of 153213984 is about 535.0973520690.

The spelling of 153213984 in words is "one hundred fifty-three million, two hundred thirteen thousand, nine hundred eighty-four".