42145152 has 64 divisors (see below), whose sum is σ = 127948800. Its totient is φ = 12040704.

The previous prime is 42145141. The next prime is 42145153. The reversal of 42145152 is 25154124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42145153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5152 + ... + 10527.

It is an arithmetic number, because the mean of its divisors is an integer number (1999200).

Almost surely, 2^42145152 is an apocalyptic number.

42145152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42145152 is an abundant number, since it is smaller than the sum of its proper divisors (85803648).

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

42145152 is a wasteful number, since it uses less digits than its factorization.

42145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703 (or 15691 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 42145152 is about 6491.9297593243. The cubic root of 42145152 is about 348.0026423369.

Adding to 42145152 its reverse (25154124), we get a palindrome (67299276).

The spelling of 42145152 in words is "forty-two million, one hundred forty-five thousand, one hundred fifty-two".