42153552 has 240 divisors, whose sum is σ = 148561920. Its totient is φ = 10886400.

The previous prime is 42153541. The next prime is 42153563. The reversal of 42153552 is 25535124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42153541) and next prime (42153563).

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, 593677 + ... + 593747.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^42153552 is an apocalyptic number.

42153552 is a gapful number since it is divisible by the number (42) 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 42153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

42153552 is an abundant number, since it is smaller than the sum of its proper divisors (106408368).

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

42153552 is a wasteful number, since it uses less digits than its factorization.

42153552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 42153552 is about 6492.5766841833. The cubic root of 42153552 is about 348.0257610735.

Adding to 42153552 its reverse (25535124), we get a palindrome (67688676).

The spelling of 42153552 in words is "forty-two million, one hundred fifty-three thousand, five hundred fifty-two".