153229680 has 240 divisors, whose sum is σ = 566392320. Its totient is φ = 36951552.

The previous prime is 153229679. The next prime is 153229709. The reversal of 153229680 is 86922351.

153229680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 314397 + ... + 314883.

It is an arithmetic number, because the mean of its divisors is an integer number (2359968).

Almost surely, 2^153229680 is an apocalyptic number.

153229680 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 153229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196160).

153229680 is an abundant number, since it is smaller than the sum of its proper divisors (413162640).

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

153229680 is a wasteful number, since it uses less digits than its factorization.

153229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

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

The square root of 153229680 is about 12378.5976588627. The cubic root of 153229680 is about 535.1156241201.

Subtracting from 153229680 its product of nonzero digits (25920), we obtain a triangular number (153203760 = T₁₇₅₀₄).

The spelling of 153229680 in words is "one hundred fifty-three million, two hundred twenty-nine thousand, six hundred eighty".