153342720 has 432 divisors, whose sum is σ = 602652960. Its totient is φ = 37158912.

The previous prime is 153342697. The next prime is 153342731. The reversal of 153342720 is 27243351.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287666 + ... + 5287694.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 2^153342720 is an apocalyptic number.

153342720 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 153342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

153342720 is an abundant number, since it is smaller than the sum of its proper divisors (449310240).

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

153342720 is an equidigital number, since it uses as much as digits as its factorization.

153342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

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

The square root of 153342720 is about 12383.1627623964. The cubic root of 153342720 is about 535.2471795767.

It can be divided in two parts, 1533 and 42720, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 153342720 in words is "one hundred fifty-three million, three hundred forty-two thousand, seven hundred twenty".