153472320 has 280 divisors, whose sum is σ = 566489088. Its totient is φ = 39398400.

The previous prime is 153472271. The next prime is 153472339. The reversal of 153472320 is 23274351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803425 + ... + 803615.

Almost surely, 2^153472320 is an apocalyptic number.

153472320 is a gapful number since it is divisible by the number (10) 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 153472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244544).

153472320 is an abundant number, since it is smaller than the sum of its proper divisors (413016768).

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

153472320 is a wasteful number, since it uses less digits than its factorization.

153472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 153472320 is about 12388.3945691119. The cubic root of 153472320 is about 535.3979279595.

The spelling of 153472320 in words is "one hundred fifty-three million, four hundred seventy-two thousand, three hundred twenty".