153342000 has 240 divisors, whose sum is σ = 612585792. Its totient is φ = 35020800.

The previous prime is 153341987. The next prime is 153342019. The reversal of 153342000 is 243351.

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 (18).

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, 125392 + ... + 126608.

Almost surely, 2^153342000 is an apocalyptic number.

153342000 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 153342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306292896).

153342000 is an abundant number, since it is smaller than the sum of its proper divisors (459243792).

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

153342000 is a wasteful number, since it uses less digits than its factorization.

153342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 153342000 is about 12383.1336906294. The cubic root of 153342000 is about 535.2463418485.

Adding to 153342000 its reverse (243351), we get a palindrome (153585351).

The spelling of 153342000 in words is "one hundred fifty-three million, three hundred forty-two thousand".